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Finding the Fourth Proportional to 457,452.80, 686,206.08 and 176,971.52

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Solution

The fourth proportional to 457,452.80, 686,206.08 and 176,971.52 is: 265,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,452.80 : 686,206.08 = 176,971.52 : x
  2. Step 2: Convert to fraction form
    457,452.80/686,206.08 = 176,971.52/x
  3. Step 3: Cross multiply
    457,452.80x = 686,206.08 × 176,971.52
  4. Step 4: Simplify right side
    457,452.80x = 121,438,933,010.84
  5. Step 5: Solve for x
    x = 121,438,933,010.84/457,452.80
  6. Step 6: Final answer
    x = 265,467.68

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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.