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Finding the Fourth Proportional to 360,659.17, 497,724.31 and 199,511.44

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Solution

The fourth proportional to 360,659.17, 497,724.31 and 199,511.44 is: 275,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,659.17 : 497,724.31 = 199,511.44 : x
  2. Step 2: Convert to fraction form
    360,659.17/497,724.31 = 199,511.44/x
  3. Step 3: Cross multiply
    360,659.17x = 497,724.31 × 199,511.44
  4. Step 4: Simplify right side
    360,659.17x = 99,301,693,811.11
  5. Step 5: Solve for x
    x = 99,301,693,811.11/360,659.17
  6. Step 6: Final answer
    x = 275,333.89

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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.