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Finding the Fourth Proportional to 614,117.80, 921,867.90 and 474,495.40

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Solution

The fourth proportional to 614,117.80, 921,867.90 and 474,495.40 is: 712,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,117.80 : 921,867.90 = 474,495.40 : x
  2. Step 2: Convert to fraction form
    614,117.80/921,867.90 = 474,495.40/x
  3. Step 3: Cross multiply
    614,117.80x = 921,867.90 × 474,495.40
  4. Step 4: Simplify right side
    614,117.80x = 437,422,077,957.66
  5. Step 5: Solve for x
    x = 437,422,077,957.66/614,117.80
  6. Step 6: Final answer
    x = 712,277.15

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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.