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Finding the Fourth Proportional to 598,517.86, 825,706.83 and 417,337.06

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Solution

The fourth proportional to 598,517.86, 825,706.83 and 417,337.06 is: 575,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,517.86 : 825,706.83 = 417,337.06 : x
  2. Step 2: Convert to fraction form
    598,517.86/825,706.83 = 417,337.06/x
  3. Step 3: Cross multiply
    598,517.86x = 825,706.83 × 417,337.06
  4. Step 4: Simplify right side
    598,517.86x = 344,598,060,854.12
  5. Step 5: Solve for x
    x = 344,598,060,854.12/598,517.86
  6. Step 6: Final answer
    x = 575,752.34

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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.