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Finding the Fourth Proportional to 472,462.20, 708,693.30 and 417,349.80

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Solution

The fourth proportional to 472,462.20, 708,693.30 and 417,349.80 is: 626,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,462.20 : 708,693.30 = 417,349.80 : x
  2. Step 2: Convert to fraction form
    472,462.20/708,693.30 = 417,349.80/x
  3. Step 3: Cross multiply
    472,462.20x = 708,693.30 × 417,349.80
  4. Step 4: Simplify right side
    472,462.20x = 295,773,007,016.34
  5. Step 5: Solve for x
    x = 295,773,007,016.34/472,462.20
  6. Step 6: Final answer
    x = 626,024.70

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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.