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Finding the Fourth Proportional to 295,810.20, 443,715.30 and 278,314.20

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Solution

The fourth proportional to 295,810.20, 443,715.30 and 278,314.20 is: 417,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,810.20 : 443,715.30 = 278,314.20 : x
  2. Step 2: Convert to fraction form
    295,810.20/443,715.30 = 278,314.20/x
  3. Step 3: Cross multiply
    295,810.20x = 443,715.30 × 278,314.20
  4. Step 4: Simplify right side
    295,810.20x = 123,492,268,747.26
  5. Step 5: Solve for x
    x = 123,492,268,747.26/295,810.20
  6. Step 6: Final answer
    x = 417,471.30

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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.