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Finding the Fourth Proportional to 364,620.80, 546,931.20 and 164,947.70

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Solution

The fourth proportional to 364,620.80, 546,931.20 and 164,947.70 is: 247,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,620.80 : 546,931.20 = 164,947.70 : x
  2. Step 2: Convert to fraction form
    364,620.80/546,931.20 = 164,947.70/x
  3. Step 3: Cross multiply
    364,620.80x = 546,931.20 × 164,947.70
  4. Step 4: Simplify right side
    364,620.80x = 90,215,043,498.24
  5. Step 5: Solve for x
    x = 90,215,043,498.24/364,620.80
  6. Step 6: Final answer
    x = 247,421.55

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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.