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Finding the Fourth Proportional to 477,634.86, 716,499 and 178,045.56

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Solution

The fourth proportional to 477,634.86, 716,499 and 178,045.56 is: 267,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,634.86 : 716,499 = 178,045.56 : x
  2. Step 2: Convert to fraction form
    477,634.86/716,499 = 178,045.56/x
  3. Step 3: Cross multiply
    477,634.86x = 716,499 × 178,045.56
  4. Step 4: Simplify right side
    477,634.86x = 127,569,465,694.44
  5. Step 5: Solve for x
    x = 127,569,465,694.44/477,634.86
  6. Step 6: Final answer
    x = 267,085.75

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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.