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Finding the Fourth Proportional to 664,780.98, 917,385.12 and 406,639.02

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Solution

The fourth proportional to 664,780.98, 917,385.12 and 406,639.02 is: 561,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,780.98 : 917,385.12 = 406,639.02 : x
  2. Step 2: Convert to fraction form
    664,780.98/917,385.12 = 406,639.02/x
  3. Step 3: Cross multiply
    664,780.98x = 917,385.12 × 406,639.02
  4. Step 4: Simplify right side
    664,780.98x = 373,044,586,159.38
  5. Step 5: Solve for x
    x = 373,044,586,159.38/664,780.98
  6. Step 6: Final answer
    x = 561,154.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.