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Finding the Fourth Proportional to 419,864.88, 579,310.12 and 256,479.76

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Solution

The fourth proportional to 419,864.88, 579,310.12 and 256,479.76 is: 353,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,864.88 : 579,310.12 = 256,479.76 : x
  2. Step 2: Convert to fraction form
    419,864.88/579,310.12 = 256,479.76/x
  3. Step 3: Cross multiply
    419,864.88x = 579,310.12 × 256,479.76
  4. Step 4: Simplify right side
    419,864.88x = 148,581,320,543.17
  5. Step 5: Solve for x
    x = 148,581,320,543.17/419,864.88
  6. Step 6: Final answer
    x = 353,878.90

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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.