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Finding the Fourth Proportional to 284,098.56, 391,925.76 and 164,843.52

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Solution

The fourth proportional to 284,098.56, 391,925.76 and 164,843.52 is: 227,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.56 : 391,925.76 = 164,843.52 : x
  2. Step 2: Convert to fraction form
    284,098.56/391,925.76 = 164,843.52/x
  3. Step 3: Cross multiply
    284,098.56x = 391,925.76 × 164,843.52
  4. Step 4: Simplify right side
    284,098.56x = 64,606,421,857.08
  5. Step 5: Solve for x
    x = 64,606,421,857.08/284,098.56
  6. Step 6: Final answer
    x = 227,408.48

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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.