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Finding the Fourth Proportional to 471,943.04, 707,921.76 and 172,484.48

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Solution

The fourth proportional to 471,943.04, 707,921.76 and 172,484.48 is: 258,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,943.04 : 707,921.76 = 172,484.48 : x
  2. Step 2: Convert to fraction form
    471,943.04/707,921.76 = 172,484.48/x
  3. Step 3: Cross multiply
    471,943.04x = 707,921.76 × 172,484.48
  4. Step 4: Simplify right side
    471,943.04x = 122,105,516,654.29
  5. Step 5: Solve for x
    x = 122,105,516,654.29/471,943.04
  6. Step 6: Final answer
    x = 258,729.35

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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.