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Finding the Fourth Proportional to 295,175.20, 442,984.20 and 209,775.56

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Solution

The fourth proportional to 295,175.20, 442,984.20 and 209,775.56 is: 314,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,175.20 : 442,984.20 = 209,775.56 : x
  2. Step 2: Convert to fraction form
    295,175.20/442,984.20 = 209,775.56/x
  3. Step 3: Cross multiply
    295,175.20x = 442,984.20 × 209,775.56
  4. Step 4: Simplify right side
    295,175.20x = 92,927,258,626.15
  5. Step 5: Solve for x
    x = 92,927,258,626.15/295,175.20
  6. Step 6: Final answer
    x = 314,820.68

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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.