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Finding the Fourth Proportional to 284,149.74, 392,111.31 and 176,716.74

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Solution

The fourth proportional to 284,149.74, 392,111.31 and 176,716.74 is: 243,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.74 : 392,111.31 = 176,716.74 : x
  2. Step 2: Convert to fraction form
    284,149.74/392,111.31 = 176,716.74/x
  3. Step 3: Cross multiply
    284,149.74x = 392,111.31 × 176,716.74
  4. Step 4: Simplify right side
    284,149.74x = 69,292,632,420.33
  5. Step 5: Solve for x
    x = 69,292,632,420.33/284,149.74
  6. Step 6: Final answer
    x = 243,859.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.