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Finding the Fourth Proportional to 447,378.38, 617,407.72 and 256,423.58

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Solution

The fourth proportional to 447,378.38, 617,407.72 and 256,423.58 is: 353,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,378.38 : 617,407.72 = 256,423.58 : x
  2. Step 2: Convert to fraction form
    447,378.38/617,407.72 = 256,423.58/x
  3. Step 3: Cross multiply
    447,378.38x = 617,407.72 × 256,423.58
  4. Step 4: Simplify right side
    447,378.38x = 158,317,897,882.04
  5. Step 5: Solve for x
    x = 158,317,897,882.04/447,378.38
  6. Step 6: Final answer
    x = 353,879.19

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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.