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Finding the Fourth Proportional to 475,099.56, 712,560.24 and 238,378.68

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Solution

The fourth proportional to 475,099.56, 712,560.24 and 238,378.68 is: 357,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,099.56 : 712,560.24 = 238,378.68 : x
  2. Step 2: Convert to fraction form
    475,099.56/712,560.24 = 238,378.68/x
  3. Step 3: Cross multiply
    475,099.56x = 712,560.24 × 238,378.68
  4. Step 4: Simplify right side
    475,099.56x = 169,859,169,431.68
  5. Step 5: Solve for x
    x = 169,859,169,431.68/475,099.56
  6. Step 6: Final answer
    x = 357,523.31

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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.