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Finding the Fourth Proportional to 484,701.60, 727,052.40 and 274,749.60

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Solution

The fourth proportional to 484,701.60, 727,052.40 and 274,749.60 is: 412,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,701.60 : 727,052.40 = 274,749.60 : x
  2. Step 2: Convert to fraction form
    484,701.60/727,052.40 = 274,749.60/x
  3. Step 3: Cross multiply
    484,701.60x = 727,052.40 × 274,749.60
  4. Step 4: Simplify right side
    484,701.60x = 199,757,356,079.04
  5. Step 5: Solve for x
    x = 199,757,356,079.04/484,701.60
  6. Step 6: Final answer
    x = 412,124.40

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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.