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Finding the Fourth Proportional to 360,539.82, 497,560.50 and 199,394.91

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Solution

The fourth proportional to 360,539.82, 497,560.50 and 199,394.91 is: 275,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,539.82 : 497,560.50 = 199,394.91 : x
  2. Step 2: Convert to fraction form
    360,539.82/497,560.50 = 199,394.91/x
  3. Step 3: Cross multiply
    360,539.82x = 497,560.50 × 199,394.91
  4. Step 4: Simplify right side
    360,539.82x = 99,211,031,117.06
  5. Step 5: Solve for x
    x = 99,211,031,117.06/360,539.82
  6. Step 6: Final answer
    x = 275,173.57

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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.