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Finding the Fourth Proportional to 477,524.50, 716,134.50 and 157,616.96

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Solution

The fourth proportional to 477,524.50, 716,134.50 and 157,616.96 is: 236,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,524.50 : 716,134.50 = 157,616.96 : x
  2. Step 2: Convert to fraction form
    477,524.50/716,134.50 = 157,616.96/x
  3. Step 3: Cross multiply
    477,524.50x = 716,134.50 × 157,616.96
  4. Step 4: Simplify right side
    477,524.50x = 112,874,939,260.45
  5. Step 5: Solve for x
    x = 112,874,939,260.45/477,524.50
  6. Step 6: Final answer
    x = 236,375.18

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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.