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Finding the Fourth Proportional to 498,002.50, 747,010.23 and 165,578.50

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Solution

The fourth proportional to 498,002.50, 747,010.23 and 165,578.50 is: 248,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,002.50 : 747,010.23 = 165,578.50 : x
  2. Step 2: Convert to fraction form
    498,002.50/747,010.23 = 165,578.50/x
  3. Step 3: Cross multiply
    498,002.50x = 747,010.23 × 165,578.50
  4. Step 4: Simplify right side
    498,002.50x = 123,688,833,368.06
  5. Step 5: Solve for x
    x = 123,688,833,368.06/498,002.50
  6. Step 6: Final answer
    x = 248,369.90

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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.