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Finding the Fourth Proportional to 252,468.44, 378,341.76 and 185,382.20

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Solution

The fourth proportional to 252,468.44, 378,341.76 and 185,382.20 is: 277,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,468.44 : 378,341.76 = 185,382.20 : x
  2. Step 2: Convert to fraction form
    252,468.44/378,341.76 = 185,382.20/x
  3. Step 3: Cross multiply
    252,468.44x = 378,341.76 × 185,382.20
  4. Step 4: Simplify right side
    252,468.44x = 70,137,827,820.67
  5. Step 5: Solve for x
    x = 70,137,827,820.67/252,468.44
  6. Step 6: Final answer
    x = 277,808.30

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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.