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Finding the Fourth Proportional to 477,648.54, 716,449.44 and 178,105.76

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Solution

The fourth proportional to 477,648.54, 716,449.44 and 178,105.76 is: 267,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,648.54 : 716,449.44 = 178,105.76 : x
  2. Step 2: Convert to fraction form
    477,648.54/716,449.44 = 178,105.76/x
  3. Step 3: Cross multiply
    477,648.54x = 716,449.44 × 178,105.76
  4. Step 4: Simplify right side
    477,648.54x = 127,603,768,430.53
  5. Step 5: Solve for x
    x = 127,603,768,430.53/477,648.54
  6. Step 6: Final answer
    x = 267,149.92

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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.