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Finding the Fourth Proportional to 409,149.10, 613,723.65 and 232,002.10

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Solution

The fourth proportional to 409,149.10, 613,723.65 and 232,002.10 is: 348,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,149.10 : 613,723.65 = 232,002.10 : x
  2. Step 2: Convert to fraction form
    409,149.10/613,723.65 = 232,002.10/x
  3. Step 3: Cross multiply
    409,149.10x = 613,723.65 × 232,002.10
  4. Step 4: Simplify right side
    409,149.10x = 142,385,175,619.67
  5. Step 5: Solve for x
    x = 142,385,175,619.67/409,149.10
  6. Step 6: Final answer
    x = 348,003.15

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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.