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Finding the Fourth Proportional to 275,417.72, 413,001.89 and 97,929.41

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Solution

The fourth proportional to 275,417.72, 413,001.89 and 97,929.41 is: 146,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,417.72 : 413,001.89 = 97,929.41 : x
  2. Step 2: Convert to fraction form
    275,417.72/413,001.89 = 97,929.41/x
  3. Step 3: Cross multiply
    275,417.72x = 413,001.89 × 97,929.41
  4. Step 4: Simplify right side
    275,417.72x = 40,445,029,229.16
  5. Step 5: Solve for x
    x = 40,445,029,229.16/275,417.72
  6. Step 6: Final answer
    x = 146,849.77

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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.