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Finding the Fourth Proportional to 516,281.76, 712,471.68 and 286,839.36

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Solution

The fourth proportional to 516,281.76, 712,471.68 and 286,839.36 is: 395,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,281.76 : 712,471.68 = 286,839.36 : x
  2. Step 2: Convert to fraction form
    516,281.76/712,471.68 = 286,839.36/x
  3. Step 3: Cross multiply
    516,281.76x = 712,471.68 × 286,839.36
  4. Step 4: Simplify right side
    516,281.76x = 204,364,920,709.33
  5. Step 5: Solve for x
    x = 204,364,920,709.33/516,281.76
  6. Step 6: Final answer
    x = 395,839.90

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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.