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Finding the Fourth Proportional to 297,255.76, 410,185.80 and 176,376.24

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Solution

The fourth proportional to 297,255.76, 410,185.80 and 176,376.24 is: 243,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,255.76 : 410,185.80 = 176,376.24 : x
  2. Step 2: Convert to fraction form
    297,255.76/410,185.80 = 176,376.24/x
  3. Step 3: Cross multiply
    297,255.76x = 410,185.80 × 176,376.24
  4. Step 4: Simplify right side
    297,255.76x = 72,347,029,105.39
  5. Step 5: Solve for x
    x = 72,347,029,105.39/297,255.76
  6. Step 6: Final answer
    x = 243,383.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.