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Finding the Fourth Proportional to 360,649.97, 497,653.90 and 199,483.10

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Solution

The fourth proportional to 360,649.97, 497,653.90 and 199,483.10 is: 275,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,649.97 : 497,653.90 = 199,483.10 : x
  2. Step 2: Convert to fraction form
    360,649.97/497,653.90 = 199,483.10/x
  3. Step 3: Cross multiply
    360,649.97x = 497,653.90 × 199,483.10
  4. Step 4: Simplify right side
    360,649.97x = 99,273,544,938.66
  5. Step 5: Solve for x
    x = 99,273,544,938.66/360,649.97
  6. Step 6: Final answer
    x = 275,262.87

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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.