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Finding the Fourth Proportional to 474,814.56, 712,328.52 and 159,263.40

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Solution

The fourth proportional to 474,814.56, 712,328.52 and 159,263.40 is: 238,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,814.56 : 712,328.52 = 159,263.40 : x
  2. Step 2: Convert to fraction form
    474,814.56/712,328.52 = 159,263.40/x
  3. Step 3: Cross multiply
    474,814.56x = 712,328.52 × 159,263.40
  4. Step 4: Simplify right side
    474,814.56x = 113,447,862,012.17
  5. Step 5: Solve for x
    x = 113,447,862,012.17/474,814.56
  6. Step 6: Final answer
    x = 238,930.88

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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.