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Finding the Fourth Proportional to 364,517.80, 546,776.70 and 164,844.70

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Solution

The fourth proportional to 364,517.80, 546,776.70 and 164,844.70 is: 247,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,517.80 : 546,776.70 = 164,844.70 : x
  2. Step 2: Convert to fraction form
    364,517.80/546,776.70 = 164,844.70/x
  3. Step 3: Cross multiply
    364,517.80x = 546,776.70 × 164,844.70
  4. Step 4: Simplify right side
    364,517.80x = 90,133,241,078.49
  5. Step 5: Solve for x
    x = 90,133,241,078.49/364,517.80
  6. Step 6: Final answer
    x = 247,267.05

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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.