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Finding the Fourth Proportional to 678,131.08, 935,716.98 and 406,135.24

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Solution

The fourth proportional to 678,131.08, 935,716.98 and 406,135.24 is: 560,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,131.08 : 935,716.98 = 406,135.24 : x
  2. Step 2: Convert to fraction form
    678,131.08/935,716.98 = 406,135.24/x
  3. Step 3: Cross multiply
    678,131.08x = 935,716.98 × 406,135.24
  4. Step 4: Simplify right side
    678,131.08x = 380,027,640,244.38
  5. Step 5: Solve for x
    x = 380,027,640,244.38/678,131.08
  6. Step 6: Final answer
    x = 560,404.40

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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.