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Finding the Fourth Proportional to 360,441.48, 497,371.16 and 199,270.50

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Solution

The fourth proportional to 360,441.48, 497,371.16 and 199,270.50 is: 274,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,441.48 : 497,371.16 = 199,270.50 : x
  2. Step 2: Convert to fraction form
    360,441.48/497,371.16 = 199,270.50/x
  3. Step 3: Cross multiply
    360,441.48x = 497,371.16 × 199,270.50
  4. Step 4: Simplify right side
    360,441.48x = 99,111,399,738.78
  5. Step 5: Solve for x
    x = 99,111,399,738.78/360,441.48
  6. Step 6: Final answer
    x = 274,972.24

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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.