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Finding the Fourth Proportional to 274,017.60, 410,637.60 and 202,381.20

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Solution

The fourth proportional to 274,017.60, 410,637.60 and 202,381.20 is: 303,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.60 : 410,637.60 = 202,381.20 : x
  2. Step 2: Convert to fraction form
    274,017.60/410,637.60 = 202,381.20/x
  3. Step 3: Cross multiply
    274,017.60x = 410,637.60 × 202,381.20
  4. Step 4: Simplify right side
    274,017.60x = 83,105,330,253.12
  5. Step 5: Solve for x
    x = 83,105,330,253.12/274,017.60
  6. Step 6: Final answer
    x = 303,284.64

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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.