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Finding the Fourth Proportional to 472,937.30, 709,132.89 and 323,358.74

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Solution

The fourth proportional to 472,937.30, 709,132.89 and 323,358.74 is: 484,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,937.30 : 709,132.89 = 323,358.74 : x
  2. Step 2: Convert to fraction form
    472,937.30/709,132.89 = 323,358.74/x
  3. Step 3: Cross multiply
    472,937.30x = 709,132.89 × 323,358.74
  4. Step 4: Simplify right side
    472,937.30x = 229,304,317,802.96
  5. Step 5: Solve for x
    x = 229,304,317,802.96/472,937.30
  6. Step 6: Final answer
    x = 484,851.41

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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.