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Finding the Fourth Proportional to 522,065.40, 783,098.10 and 433,495.80

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Solution

The fourth proportional to 522,065.40, 783,098.10 and 433,495.80 is: 650,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,065.40 : 783,098.10 = 433,495.80 : x
  2. Step 2: Convert to fraction form
    522,065.40/783,098.10 = 433,495.80/x
  3. Step 3: Cross multiply
    522,065.40x = 783,098.10 × 433,495.80
  4. Step 4: Simplify right side
    522,065.40x = 339,469,737,337.98
  5. Step 5: Solve for x
    x = 339,469,737,337.98/522,065.40
  6. Step 6: Final answer
    x = 650,243.70

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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.