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Finding the Fourth Proportional to 472,892.40, 709,165.80 and 157,359.60

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Solution

The fourth proportional to 472,892.40, 709,165.80 and 157,359.60 is: 235,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,892.40 : 709,165.80 = 157,359.60 : x
  2. Step 2: Convert to fraction form
    472,892.40/709,165.80 = 157,359.60/x
  3. Step 3: Cross multiply
    472,892.40x = 709,165.80 × 157,359.60
  4. Step 4: Simplify right side
    472,892.40x = 111,594,046,621.68
  5. Step 5: Solve for x
    x = 111,594,046,621.68/472,892.40
  6. Step 6: Final answer
    x = 235,981.90

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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.