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Finding the Fourth Proportional to 512,029.08, 706,487.04 and 297,044.64

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Solution

The fourth proportional to 512,029.08, 706,487.04 and 297,044.64 is: 409,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,029.08 : 706,487.04 = 297,044.64 : x
  2. Step 2: Convert to fraction form
    512,029.08/706,487.04 = 297,044.64/x
  3. Step 3: Cross multiply
    512,029.08x = 706,487.04 × 297,044.64
  4. Step 4: Simplify right side
    512,029.08x = 209,858,188,461.47
  5. Step 5: Solve for x
    x = 209,858,188,461.47/512,029.08
  6. Step 6: Final answer
    x = 409,856.00

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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.