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Finding the Fourth Proportional to 498,612.02, 747,918 and 232,558.62

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Solution

The fourth proportional to 498,612.02, 747,918 and 232,558.62 is: 348,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,612.02 : 747,918 = 232,558.62 : x
  2. Step 2: Convert to fraction form
    498,612.02/747,918 = 232,558.62/x
  3. Step 3: Cross multiply
    498,612.02x = 747,918 × 232,558.62
  4. Step 4: Simplify right side
    498,612.02x = 173,934,777,953.16
  5. Step 5: Solve for x
    x = 173,934,777,953.16/498,612.02
  6. Step 6: Final answer
    x = 348,837.92

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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.