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Finding the Fourth Proportional to 474,069.47, 710,955.96 and 158,452.56

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Solution

The fourth proportional to 474,069.47, 710,955.96 and 158,452.56 is: 237,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,069.47 : 710,955.96 = 158,452.56 : x
  2. Step 2: Convert to fraction form
    474,069.47/710,955.96 = 158,452.56/x
  3. Step 3: Cross multiply
    474,069.47x = 710,955.96 × 158,452.56
  4. Step 4: Simplify right side
    474,069.47x = 112,652,791,909.26
  5. Step 5: Solve for x
    x = 112,652,791,909.26/474,069.47
  6. Step 6: Final answer
    x = 237,629.29

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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.