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Finding the Fourth Proportional to 731,781.63, 1,009,900.97 and 409,488.90

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Solution

The fourth proportional to 731,781.63, 1,009,900.97 and 409,488.90 is: 565,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,781.63 : 1,009,900.97 = 409,488.90 : x
  2. Step 2: Convert to fraction form
    731,781.63/1,009,900.97 = 409,488.90/x
  3. Step 3: Cross multiply
    731,781.63x = 1,009,900.97 × 409,488.90
  4. Step 4: Simplify right side
    731,781.63x = 413,543,235,266.79
  5. Step 5: Solve for x
    x = 413,543,235,266.79/731,781.63
  6. Step 6: Final answer
    x = 565,118.36

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