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Finding the Fourth Proportional to 284,044.35, 392,123.25 and 176,648.98

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Solution

The fourth proportional to 284,044.35, 392,123.25 and 176,648.98 is: 243,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.35 : 392,123.25 = 176,648.98 : x
  2. Step 2: Convert to fraction form
    284,044.35/392,123.25 = 176,648.98/x
  3. Step 3: Cross multiply
    284,044.35x = 392,123.25 × 176,648.98
  4. Step 4: Simplify right side
    284,044.35x = 69,268,171,705.16
  5. Step 5: Solve for x
    x = 69,268,171,705.16/284,044.35
  6. Step 6: Final answer
    x = 243,863.93

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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.