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Finding the Fourth Proportional to 512,077.34, 706,613.13 and 282,630.39

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Solution

The fourth proportional to 512,077.34, 706,613.13 and 282,630.39 is: 390,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,077.34 : 706,613.13 = 282,630.39 : x
  2. Step 2: Convert to fraction form
    512,077.34/706,613.13 = 282,630.39/x
  3. Step 3: Cross multiply
    512,077.34x = 706,613.13 × 282,630.39
  4. Step 4: Simplify right side
    512,077.34x = 199,710,344,511.02
  5. Step 5: Solve for x
    x = 199,710,344,511.02/512,077.34
  6. Step 6: Final answer
    x = 390,000.36

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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.