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Finding the Fourth Proportional to 360,428.38, 497,371.04 and 199,274.02

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Solution

The fourth proportional to 360,428.38, 497,371.04 and 199,274.02 is: 274,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,428.38 : 497,371.04 = 199,274.02 : x
  2. Step 2: Convert to fraction form
    360,428.38/497,371.04 = 199,274.02/x
  3. Step 3: Cross multiply
    360,428.38x = 497,371.04 × 199,274.02
  4. Step 4: Simplify right side
    360,428.38x = 99,113,126,572.38
  5. Step 5: Solve for x
    x = 99,113,126,572.38/360,428.38
  6. Step 6: Final answer
    x = 274,987.02

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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.