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Finding the Fourth Proportional to 731,605.84, 1,009,655.27 and 409,296.71

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Solution

The fourth proportional to 731,605.84, 1,009,655.27 and 409,296.71 is: 564,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,605.84 : 1,009,655.27 = 409,296.71 : x
  2. Step 2: Convert to fraction form
    731,605.84/1,009,655.27 = 409,296.71/x
  3. Step 3: Cross multiply
    731,605.84x = 1,009,655.27 × 409,296.71
  4. Step 4: Simplify right side
    731,605.84x = 413,248,580,245.16
  5. Step 5: Solve for x
    x = 413,248,580,245.16/731,605.84
  6. Step 6: Final answer
    x = 564,851.40

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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.