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Finding the Fourth Proportional to 485,722.80, 727,709.40 and 298,515.60

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Solution

The fourth proportional to 485,722.80, 727,709.40 and 298,515.60 is: 447,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,722.80 : 727,709.40 = 298,515.60 : x
  2. Step 2: Convert to fraction form
    485,722.80/727,709.40 = 298,515.60/x
  3. Step 3: Cross multiply
    485,722.80x = 727,709.40 × 298,515.60
  4. Step 4: Simplify right side
    485,722.80x = 217,232,608,166.64
  5. Step 5: Solve for x
    x = 217,232,608,166.64/485,722.80
  6. Step 6: Final answer
    x = 447,235.77

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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.