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Finding the Fourth Proportional to 512,115.08, 706,613.28 and 294,281.66

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Solution

The fourth proportional to 512,115.08, 706,613.28 and 294,281.66 is: 406,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,115.08 : 706,613.28 = 294,281.66 : x
  2. Step 2: Convert to fraction form
    512,115.08/706,613.28 = 294,281.66/x
  3. Step 3: Cross multiply
    512,115.08x = 706,613.28 × 294,281.66
  4. Step 4: Simplify right side
    512,115.08x = 207,943,329,016.45
  5. Step 5: Solve for x
    x = 207,943,329,016.45/512,115.08
  6. Step 6: Final answer
    x = 406,048.05

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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.