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Finding the Fourth Proportional to 413,010.65, 619,516.01 and 146,781.68

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Solution

The fourth proportional to 413,010.65, 619,516.01 and 146,781.68 is: 220,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,010.65 : 619,516.01 = 146,781.68 : x
  2. Step 2: Convert to fraction form
    413,010.65/619,516.01 = 146,781.68/x
  3. Step 3: Cross multiply
    413,010.65x = 619,516.01 × 146,781.68
  4. Step 4: Simplify right side
    413,010.65x = 90,933,598,004.07
  5. Step 5: Solve for x
    x = 90,933,598,004.07/413,010.65
  6. Step 6: Final answer
    x = 220,172.52

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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.