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Finding the Fourth Proportional to 614,126.80, 921,881.40 and 474,504.40

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Solution

The fourth proportional to 614,126.80, 921,881.40 and 474,504.40 is: 712,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,126.80 : 921,881.40 = 474,504.40 : x
  2. Step 2: Convert to fraction form
    614,126.80/921,881.40 = 474,504.40/x
  3. Step 3: Cross multiply
    614,126.80x = 921,881.40 × 474,504.40
  4. Step 4: Simplify right side
    614,126.80x = 437,436,780,578.16
  5. Step 5: Solve for x
    x = 437,436,780,578.16/614,126.80
  6. Step 6: Final answer
    x = 712,290.65

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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.