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Finding the Fourth Proportional to 415,767.80, 623,651.70 and 149,569.40

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Solution

The fourth proportional to 415,767.80, 623,651.70 and 149,569.40 is: 224,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,767.80 : 623,651.70 = 149,569.40 : x
  2. Step 2: Convert to fraction form
    415,767.80/623,651.70 = 149,569.40/x
  3. Step 3: Cross multiply
    415,767.80x = 623,651.70 × 149,569.40
  4. Step 4: Simplify right side
    415,767.80x = 93,279,210,577.98
  5. Step 5: Solve for x
    x = 93,279,210,577.98/415,767.80
  6. Step 6: Final answer
    x = 224,354.10

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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.