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Finding the Fourth Proportional to 498,806.10, 748,459.44 and 232,587.45

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Solution

The fourth proportional to 498,806.10, 748,459.44 and 232,587.45 is: 348,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,806.10 : 748,459.44 = 232,587.45 : x
  2. Step 2: Convert to fraction form
    498,806.10/748,459.44 = 232,587.45/x
  3. Step 3: Cross multiply
    498,806.10x = 748,459.44 × 232,587.45
  4. Step 4: Simplify right side
    498,806.10x = 174,082,272,578.03
  5. Step 5: Solve for x
    x = 174,082,272,578.03/498,806.10
  6. Step 6: Final answer
    x = 348,997.88

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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.