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Finding the Fourth Proportional to 360,418.24, 497,333.76 and 199,251.52

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Solution

The fourth proportional to 360,418.24, 497,333.76 and 199,251.52 is: 274,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,418.24 : 497,333.76 = 199,251.52 : x
  2. Step 2: Convert to fraction form
    360,418.24/497,333.76 = 199,251.52/x
  3. Step 3: Cross multiply
    360,418.24x = 497,333.76 × 199,251.52
  4. Step 4: Simplify right side
    360,418.24x = 99,094,507,627.32
  5. Step 5: Solve for x
    x = 99,094,507,627.32/360,418.24
  6. Step 6: Final answer
    x = 274,943.10

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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.