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Finding the Fourth Proportional to 295,689.20, 443,533.80 and 202,377.20

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Solution

The fourth proportional to 295,689.20, 443,533.80 and 202,377.20 is: 303,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,689.20 : 443,533.80 = 202,377.20 : x
  2. Step 2: Convert to fraction form
    295,689.20/443,533.80 = 202,377.20/x
  3. Step 3: Cross multiply
    295,689.20x = 443,533.80 × 202,377.20
  4. Step 4: Simplify right side
    295,689.20x = 89,761,128,549.36
  5. Step 5: Solve for x
    x = 89,761,128,549.36/295,689.20
  6. Step 6: Final answer
    x = 303,565.80

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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.