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Finding the Fourth Proportional to 486,033.10, 729,049.65 and 433,501.90

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Solution

The fourth proportional to 486,033.10, 729,049.65 and 433,501.90 is: 650,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,033.10 : 729,049.65 = 433,501.90 : x
  2. Step 2: Convert to fraction form
    486,033.10/729,049.65 = 433,501.90/x
  3. Step 3: Cross multiply
    486,033.10x = 729,049.65 × 433,501.90
  4. Step 4: Simplify right side
    486,033.10x = 316,044,408,469.34
  5. Step 5: Solve for x
    x = 316,044,408,469.34/486,033.10
  6. Step 6: Final answer
    x = 650,252.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.