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Finding the Fourth Proportional to 731,603.84, 1,009,652.51 and 409,294.71

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Solution

The fourth proportional to 731,603.84, 1,009,652.51 and 409,294.71 is: 564,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,603.84 : 1,009,652.51 = 409,294.71 : x
  2. Step 2: Convert to fraction form
    731,603.84/1,009,652.51 = 409,294.71/x
  3. Step 3: Cross multiply
    731,603.84x = 1,009,652.51 × 409,294.71
  4. Step 4: Simplify right side
    731,603.84x = 413,245,432,304.46
  5. Step 5: Solve for x
    x = 413,245,432,304.46/731,603.84
  6. Step 6: Final answer
    x = 564,848.64

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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.