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Finding the Fourth Proportional to 477,544.97, 716,226 and 185,424.75

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Solution

The fourth proportional to 477,544.97, 716,226 and 185,424.75 is: 278,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,544.97 : 716,226 = 185,424.75 : x
  2. Step 2: Convert to fraction form
    477,544.97/716,226 = 185,424.75/x
  3. Step 3: Cross multiply
    477,544.97x = 716,226 × 185,424.75
  4. Step 4: Simplify right side
    477,544.97x = 132,806,025,202.94
  5. Step 5: Solve for x
    x = 132,806,025,202.94/477,544.97
  6. Step 6: Final answer
    x = 278,101.61

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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.