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Finding the Fourth Proportional to 295,028.52, 407,144.20 and 160,892.52

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Solution

The fourth proportional to 295,028.52, 407,144.20 and 160,892.52 is: 222,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,028.52 : 407,144.20 = 160,892.52 : x
  2. Step 2: Convert to fraction form
    295,028.52/407,144.20 = 160,892.52/x
  3. Step 3: Cross multiply
    295,028.52x = 407,144.20 × 160,892.52
  4. Step 4: Simplify right side
    295,028.52x = 65,506,456,341.38
  5. Step 5: Solve for x
    x = 65,506,456,341.38/295,028.52
  6. Step 6: Final answer
    x = 222,034.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.