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Finding the Fourth Proportional to 393,020.10, 541,818.54 and 332,347.32

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Solution

The fourth proportional to 393,020.10, 541,818.54 and 332,347.32 is: 458,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,020.10 : 541,818.54 = 332,347.32 : x
  2. Step 2: Convert to fraction form
    393,020.10/541,818.54 = 332,347.32/x
  3. Step 3: Cross multiply
    393,020.10x = 541,818.54 × 332,347.32
  4. Step 4: Simplify right side
    393,020.10x = 180,071,939,695.31
  5. Step 5: Solve for x
    x = 180,071,939,695.31/393,020.10
  6. Step 6: Final answer
    x = 458,174.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.