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Finding the Fourth Proportional to 482,732.34, 724,103.97 and 145,775.79

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Solution

The fourth proportional to 482,732.34, 724,103.97 and 145,775.79 is: 218,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,732.34 : 724,103.97 = 145,775.79 : x
  2. Step 2: Convert to fraction form
    482,732.34/724,103.97 = 145,775.79/x
  3. Step 3: Cross multiply
    482,732.34x = 724,103.97 × 145,775.79
  4. Step 4: Simplify right side
    482,732.34x = 105,556,828,268.89
  5. Step 5: Solve for x
    x = 105,556,828,268.89/482,732.34
  6. Step 6: Final answer
    x = 218,665.33

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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.