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Finding the Fourth Proportional to 475,115.46, 712,776.96 and 159,564.12

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Solution

The fourth proportional to 475,115.46, 712,776.96 and 159,564.12 is: 239,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,115.46 : 712,776.96 = 159,564.12 : x
  2. Step 2: Convert to fraction form
    475,115.46/712,776.96 = 159,564.12/x
  3. Step 3: Cross multiply
    475,115.46x = 712,776.96 × 159,564.12
  4. Step 4: Simplify right side
    475,115.46x = 113,733,628,378.68
  5. Step 5: Solve for x
    x = 113,733,628,378.68/475,115.46
  6. Step 6: Final answer
    x = 239,381.03

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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.