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Finding the Fourth Proportional to 513,689.31, 770,533.97 and 176,738.22

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Solution

The fourth proportional to 513,689.31, 770,533.97 and 176,738.22 is: 265,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,689.31 : 770,533.97 = 176,738.22 : x
  2. Step 2: Convert to fraction form
    513,689.31/770,533.97 = 176,738.22/x
  3. Step 3: Cross multiply
    513,689.31x = 770,533.97 × 176,738.22
  4. Step 4: Simplify right side
    513,689.31x = 136,182,801,423.64
  5. Step 5: Solve for x
    x = 136,182,801,423.64/513,689.31
  6. Step 6: Final answer
    x = 265,107.33

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.