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Finding the Fourth Proportional to 360,351.86, 497,242.29 and 199,184.84

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Solution

The fourth proportional to 360,351.86, 497,242.29 and 199,184.84 is: 274,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,351.86 : 497,242.29 = 199,184.84 : x
  2. Step 2: Convert to fraction form
    360,351.86/497,242.29 = 199,184.84/x
  3. Step 3: Cross multiply
    360,351.86x = 497,242.29 × 199,184.84
  4. Step 4: Simplify right side
    360,351.86x = 99,043,126,100.27
  5. Step 5: Solve for x
    x = 99,043,126,100.27/360,351.86
  6. Step 6: Final answer
    x = 274,851.16

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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.