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Finding the Fourth Proportional to 291,724.50, 402,580.17 and 157,588.50

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Solution

The fourth proportional to 291,724.50, 402,580.17 and 157,588.50 is: 217,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,724.50 : 402,580.17 = 157,588.50 : x
  2. Step 2: Convert to fraction form
    291,724.50/402,580.17 = 157,588.50/x
  3. Step 3: Cross multiply
    291,724.50x = 402,580.17 × 157,588.50
  4. Step 4: Simplify right side
    291,724.50x = 63,442,005,120.05
  5. Step 5: Solve for x
    x = 63,442,005,120.05/291,724.50
  6. Step 6: Final answer
    x = 217,472.32

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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.