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Finding the Fourth Proportional to 513,711.20, 770,566.80 and 233,228.45

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Solution

The fourth proportional to 513,711.20, 770,566.80 and 233,228.45 is: 349,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,711.20 : 770,566.80 = 233,228.45 : x
  2. Step 2: Convert to fraction form
    513,711.20/770,566.80 = 233,228.45/x
  3. Step 3: Cross multiply
    513,711.20x = 770,566.80 × 233,228.45
  4. Step 4: Simplify right side
    513,711.20x = 179,718,100,385.46
  5. Step 5: Solve for x
    x = 179,718,100,385.46/513,711.20
  6. Step 6: Final answer
    x = 349,842.68

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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.