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Finding the Fourth Proportional to 364,518.80, 546,778.20 and 164,845.70

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Solution

The fourth proportional to 364,518.80, 546,778.20 and 164,845.70 is: 247,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,518.80 : 546,778.20 = 164,845.70 : x
  2. Step 2: Convert to fraction form
    364,518.80/546,778.20 = 164,845.70/x
  3. Step 3: Cross multiply
    364,518.80x = 546,778.20 × 164,845.70
  4. Step 4: Simplify right side
    364,518.80x = 90,134,035,123.74
  5. Step 5: Solve for x
    x = 90,134,035,123.74/364,518.80
  6. Step 6: Final answer
    x = 247,268.55

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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.