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Finding the Fourth Proportional to 409,148.10, 613,722.15 and 232,001.10

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Solution

The fourth proportional to 409,148.10, 613,722.15 and 232,001.10 is: 348,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,148.10 : 613,722.15 = 232,001.10 : x
  2. Step 2: Convert to fraction form
    409,148.10/613,722.15 = 232,001.10/x
  3. Step 3: Cross multiply
    409,148.10x = 613,722.15 × 232,001.10
  4. Step 4: Simplify right side
    409,148.10x = 142,384,213,894.37
  5. Step 5: Solve for x
    x = 142,384,213,894.37/409,148.10
  6. Step 6: Final answer
    x = 348,001.65

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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.