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Finding the Fourth Proportional to 512,031.16, 706,309.20 and 297,143.82

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Solution

The fourth proportional to 512,031.16, 706,309.20 and 297,143.82 is: 409,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,031.16 : 706,309.20 = 297,143.82 : x
  2. Step 2: Convert to fraction form
    512,031.16/706,309.20 = 297,143.82/x
  3. Step 3: Cross multiply
    512,031.16x = 706,309.20 × 297,143.82
  4. Step 4: Simplify right side
    512,031.16x = 209,875,413,789.14
  5. Step 5: Solve for x
    x = 209,875,413,789.14/512,031.16
  6. Step 6: Final answer
    x = 409,887.97

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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.