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Finding the Fourth Proportional to 614,116.80, 921,866.40 and 474,494.40

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Solution

The fourth proportional to 614,116.80, 921,866.40 and 474,494.40 is: 712,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,116.80 : 921,866.40 = 474,494.40 : x
  2. Step 2: Convert to fraction form
    614,116.80/921,866.40 = 474,494.40/x
  3. Step 3: Cross multiply
    614,116.80x = 921,866.40 × 474,494.40
  4. Step 4: Simplify right side
    614,116.80x = 437,420,444,348.16
  5. Step 5: Solve for x
    x = 437,420,444,348.16/614,116.80
  6. Step 6: Final answer
    x = 712,275.65

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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.