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Finding the Fourth Proportional to 284,044.73, 392,123.77 and 176,649.36

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Solution

The fourth proportional to 284,044.73, 392,123.77 and 176,649.36 is: 243,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.73 : 392,123.77 = 176,649.36 : x
  2. Step 2: Convert to fraction form
    284,044.73/392,123.77 = 176,649.36/x
  3. Step 3: Cross multiply
    284,044.73x = 392,123.77 × 176,649.36
  4. Step 4: Simplify right side
    284,044.73x = 69,268,413,011.29
  5. Step 5: Solve for x
    x = 69,268,413,011.29/284,044.73
  6. Step 6: Final answer
    x = 243,864.45

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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.