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Finding the Fourth Proportional to 477,382.70, 715,920.96 and 157,462.76

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Solution

The fourth proportional to 477,382.70, 715,920.96 and 157,462.76 is: 236,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,382.70 : 715,920.96 = 157,462.76 : x
  2. Step 2: Convert to fraction form
    477,382.70/715,920.96 = 157,462.76/x
  3. Step 3: Cross multiply
    477,382.70x = 715,920.96 × 157,462.76
  4. Step 4: Simplify right side
    477,382.70x = 112,730,890,303.45
  5. Step 5: Solve for x
    x = 112,730,890,303.45/477,382.70
  6. Step 6: Final answer
    x = 236,143.64

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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.