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Finding the Fourth Proportional to 490,224.46, 676,404.80 and 286,182.78

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Solution

The fourth proportional to 490,224.46, 676,404.80 and 286,182.78 is: 394,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,224.46 : 676,404.80 = 286,182.78 : x
  2. Step 2: Convert to fraction form
    490,224.46/676,404.80 = 286,182.78/x
  3. Step 3: Cross multiply
    490,224.46x = 676,404.80 × 286,182.78
  4. Step 4: Simplify right side
    490,224.46x = 193,575,406,069.34
  5. Step 5: Solve for x
    x = 193,575,406,069.34/490,224.46
  6. Step 6: Final answer
    x = 394,870.97

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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.