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Finding the Fourth Proportional to 425,116.80, 638,366.40 and 307,612.80

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Solution

The fourth proportional to 425,116.80, 638,366.40 and 307,612.80 is: 461,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,116.80 : 638,366.40 = 307,612.80 : x
  2. Step 2: Convert to fraction form
    425,116.80/638,366.40 = 307,612.80/x
  3. Step 3: Cross multiply
    425,116.80x = 638,366.40 × 307,612.80
  4. Step 4: Simplify right side
    425,116.80x = 196,369,675,729.92
  5. Step 5: Solve for x
    x = 196,369,675,729.92/425,116.80
  6. Step 6: Final answer
    x = 461,919.35

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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.