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Finding the Fourth Proportional to 614,744.40, 922,116.60 and 413,977.80

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Solution

The fourth proportional to 614,744.40, 922,116.60 and 413,977.80 is: 620,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,744.40 : 922,116.60 = 413,977.80 : x
  2. Step 2: Convert to fraction form
    614,744.40/922,116.60 = 413,977.80/x
  3. Step 3: Cross multiply
    614,744.40x = 922,116.60 × 413,977.80
  4. Step 4: Simplify right side
    614,744.40x = 381,735,801,411.48
  5. Step 5: Solve for x
    x = 381,735,801,411.48/614,744.40
  6. Step 6: Final answer
    x = 620,966.70

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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.