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Finding the Fourth Proportional to 498,670.02, 748,069.38 and 228,732.96

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Solution

The fourth proportional to 498,670.02, 748,069.38 and 228,732.96 is: 343,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,670.02 : 748,069.38 = 228,732.96 : x
  2. Step 2: Convert to fraction form
    498,670.02/748,069.38 = 228,732.96/x
  3. Step 3: Cross multiply
    498,670.02x = 748,069.38 × 228,732.96
  4. Step 4: Simplify right side
    498,670.02x = 171,108,123,572.77
  5. Step 5: Solve for x
    x = 171,108,123,572.77/498,670.02
  6. Step 6: Final answer
    x = 343,128.96

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Why These Related Problems?

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