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Finding the Fourth Proportional to 410,034.40, 565,848.12 and 226,268.68

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Solution

The fourth proportional to 410,034.40, 565,848.12 and 226,268.68 is: 312,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,034.40 : 565,848.12 = 226,268.68 : x
  2. Step 2: Convert to fraction form
    410,034.40/565,848.12 = 226,268.68/x
  3. Step 3: Cross multiply
    410,034.40x = 565,848.12 × 226,268.68
  4. Step 4: Simplify right side
    410,034.40x = 128,033,707,192.88
  5. Step 5: Solve for x
    x = 128,033,707,192.88/410,034.40
  6. Step 6: Final answer
    x = 312,251.14

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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.