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Finding the Fourth Proportional to 360,362.26, 497,261.86 and 199,191.30

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Solution

The fourth proportional to 360,362.26, 497,261.86 and 199,191.30 is: 274,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,362.26 : 497,261.86 = 199,191.30 : x
  2. Step 2: Convert to fraction form
    360,362.26/497,261.86 = 199,191.30/x
  3. Step 3: Cross multiply
    360,362.26x = 497,261.86 × 199,191.30
  4. Step 4: Simplify right side
    360,362.26x = 99,050,236,333.82
  5. Step 5: Solve for x
    x = 99,050,236,333.82/360,362.26
  6. Step 6: Final answer
    x = 274,862.96

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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.