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Finding the Fourth Proportional to 475,052.41, 712,644.23 and 159,599.53

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Solution

The fourth proportional to 475,052.41, 712,644.23 and 159,599.53 is: 239,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,052.41 : 712,644.23 = 159,599.53 : x
  2. Step 2: Convert to fraction form
    475,052.41/712,644.23 = 159,599.53/x
  3. Step 3: Cross multiply
    475,052.41x = 712,644.23 × 159,599.53
  4. Step 4: Simplify right side
    475,052.41x = 113,737,684,165.21
  5. Step 5: Solve for x
    x = 113,737,684,165.21/475,052.41
  6. Step 6: Final answer
    x = 239,421.34

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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.