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Finding the Fourth Proportional to 469,627.54, 704,403.95 and 132,654.58

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Solution

The fourth proportional to 469,627.54, 704,403.95 and 132,654.58 is: 198,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,627.54 : 704,403.95 = 132,654.58 : x
  2. Step 2: Convert to fraction form
    469,627.54/704,403.95 = 132,654.58/x
  3. Step 3: Cross multiply
    469,627.54x = 704,403.95 × 132,654.58
  4. Step 4: Simplify right side
    469,627.54x = 93,442,407,713.31
  5. Step 5: Solve for x
    x = 93,442,407,713.31/469,627.54
  6. Step 6: Final answer
    x = 198,971.31

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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.