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Finding the Fourth Proportional to 274,402.28, 411,303.17 and 141,290.53

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Solution

The fourth proportional to 274,402.28, 411,303.17 and 141,290.53 is: 211,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402.28 : 411,303.17 = 141,290.53 : x
  2. Step 2: Convert to fraction form
    274,402.28/411,303.17 = 141,290.53/x
  3. Step 3: Cross multiply
    274,402.28x = 411,303.17 × 141,290.53
  4. Step 4: Simplify right side
    274,402.28x = 58,113,241,410.19
  5. Step 5: Solve for x
    x = 58,113,241,410.19/274,402.28
  6. Step 6: Final answer
    x = 211,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.