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Finding the Fourth Proportional to 284,044.90, 392,124 and 176,649.53

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Solution

The fourth proportional to 284,044.90, 392,124 and 176,649.53 is: 243,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.90 : 392,124 = 176,649.53 : x
  2. Step 2: Convert to fraction form
    284,044.90/392,124 = 176,649.53/x
  3. Step 3: Cross multiply
    284,044.90x = 392,124 × 176,649.53
  4. Step 4: Simplify right side
    284,044.90x = 69,268,519,811.57
  5. Step 5: Solve for x
    x = 69,268,519,811.57/284,044.90
  6. Step 6: Final answer
    x = 243,864.69

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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.