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Finding the Fourth Proportional to 475,043.28, 712,599.48 and 159,497.52

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Solution

The fourth proportional to 475,043.28, 712,599.48 and 159,497.52 is: 239,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,043.28 : 712,599.48 = 159,497.52 : x
  2. Step 2: Convert to fraction form
    475,043.28/712,599.48 = 159,497.52/x
  3. Step 3: Cross multiply
    475,043.28x = 712,599.48 × 159,497.52
  4. Step 4: Simplify right side
    475,043.28x = 113,657,849,813.29
  5. Step 5: Solve for x
    x = 113,657,849,813.29/475,043.28
  6. Step 6: Final answer
    x = 239,257.88

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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.