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Finding the Fourth Proportional to 360,196.31, 497,031.99 and 199,029.44

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Solution

The fourth proportional to 360,196.31, 497,031.99 and 199,029.44 is: 274,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,196.31 : 497,031.99 = 199,029.44 : x
  2. Step 2: Convert to fraction form
    360,196.31/497,031.99 = 199,029.44/x
  3. Step 3: Cross multiply
    360,196.31x = 497,031.99 × 199,029.44
  4. Step 4: Simplify right side
    360,196.31x = 98,923,996,146.63
  5. Step 5: Solve for x
    x = 98,923,996,146.63/360,196.31
  6. Step 6: Final answer
    x = 274,639.12

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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.