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Finding the Fourth Proportional to 365,655.70, 548,264.85 and 188,508.70

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Solution

The fourth proportional to 365,655.70, 548,264.85 and 188,508.70 is: 282,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,655.70 : 548,264.85 = 188,508.70 : x
  2. Step 2: Convert to fraction form
    365,655.70/548,264.85 = 188,508.70/x
  3. Step 3: Cross multiply
    365,655.70x = 548,264.85 × 188,508.70
  4. Step 4: Simplify right side
    365,655.70x = 103,352,694,129.20
  5. Step 5: Solve for x
    x = 103,352,694,129.20/365,655.70
  6. Step 6: Final answer
    x = 282,650.30

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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.