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Finding the Fourth Proportional to 474,029.28, 710,296.56 and 174,096

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Solution

The fourth proportional to 474,029.28, 710,296.56 and 174,096 is: 260,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,029.28 : 710,296.56 = 174,096 : x
  2. Step 2: Convert to fraction form
    474,029.28/710,296.56 = 174,096/x
  3. Step 3: Cross multiply
    474,029.28x = 710,296.56 × 174,096
  4. Step 4: Simplify right side
    474,029.28x = 123,659,789,909.76
  5. Step 5: Solve for x
    x = 123,659,789,909.76/474,029.28
  6. Step 6: Final answer
    x = 260,869.52

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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.