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Finding the Fourth Proportional to 477,452.62, 716,027.00 and 157,544.85

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Solution

The fourth proportional to 477,452.62, 716,027.00 and 157,544.85 is: 236,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,452.62 : 716,027.00 = 157,544.85 : x
  2. Step 2: Convert to fraction form
    477,452.62/716,027.00 = 157,544.85/x
  3. Step 3: Cross multiply
    477,452.62x = 716,027.00 × 157,544.85
  4. Step 4: Simplify right side
    477,452.62x = 112,806,366,704.81
  5. Step 5: Solve for x
    x = 112,806,366,704.81/477,452.62
  6. Step 6: Final answer
    x = 236,267.14

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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.