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Finding the Fourth Proportional to 516,776.13, 712,990.77 and 301,761.09

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Solution

The fourth proportional to 516,776.13, 712,990.77 and 301,761.09 is: 416,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,776.13 : 712,990.77 = 301,761.09 : x
  2. Step 2: Convert to fraction form
    516,776.13/712,990.77 = 301,761.09/x
  3. Step 3: Cross multiply
    516,776.13x = 712,990.77 × 301,761.09
  4. Step 4: Simplify right side
    516,776.13x = 215,152,866,841.38
  5. Step 5: Solve for x
    x = 215,152,866,841.38/516,776.13
  6. Step 6: Final answer
    x = 416,336.70

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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.