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Finding the Fourth Proportional to 477,019.32, 715,084.24 and 161,255.40

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Solution

The fourth proportional to 477,019.32, 715,084.24 and 161,255.40 is: 241,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,019.32 : 715,084.24 = 161,255.40 : x
  2. Step 2: Convert to fraction form
    477,019.32/715,084.24 = 161,255.40/x
  3. Step 3: Cross multiply
    477,019.32x = 715,084.24 × 161,255.40
  4. Step 4: Simplify right side
    477,019.32x = 115,311,195,154.90
  5. Step 5: Solve for x
    x = 115,311,195,154.90/477,019.32
  6. Step 6: Final answer
    x = 241,732.76

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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.