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Finding the Fourth Proportional to 516,188.18, 712,319.85 and 286,759.88

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Solution

The fourth proportional to 516,188.18, 712,319.85 and 286,759.88 is: 395,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,188.18 : 712,319.85 = 286,759.88 : x
  2. Step 2: Convert to fraction form
    516,188.18/712,319.85 = 286,759.88/x
  3. Step 3: Cross multiply
    516,188.18x = 712,319.85 × 286,759.88
  4. Step 4: Simplify right side
    516,188.18x = 204,264,751,146.02
  5. Step 5: Solve for x
    x = 204,264,751,146.02/516,188.18
  6. Step 6: Final answer
    x = 395,717.61

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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.