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Finding the Fourth Proportional to 678,781.50, 935,950.80 and 433,443.66

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Solution

The fourth proportional to 678,781.50, 935,950.80 and 433,443.66 is: 597,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,781.50 : 935,950.80 = 433,443.66 : x
  2. Step 2: Convert to fraction form
    678,781.50/935,950.80 = 433,443.66/x
  3. Step 3: Cross multiply
    678,781.50x = 935,950.80 × 433,443.66
  4. Step 4: Simplify right side
    678,781.50x = 405,681,940,331.93
  5. Step 5: Solve for x
    x = 405,681,940,331.93/678,781.50
  6. Step 6: Final answer
    x = 597,662.05

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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.