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Finding the Fourth Proportional to 426,009.40, 638,471.40 and 226,425.40

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Solution

The fourth proportional to 426,009.40, 638,471.40 and 226,425.40 is: 339,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,009.40 : 638,471.40 = 226,425.40 : x
  2. Step 2: Convert to fraction form
    426,009.40/638,471.40 = 226,425.40/x
  3. Step 3: Cross multiply
    426,009.40x = 638,471.40 × 226,425.40
  4. Step 4: Simplify right side
    426,009.40x = 144,566,142,133.56
  5. Step 5: Solve for x
    x = 144,566,142,133.56/426,009.40
  6. Step 6: Final answer
    x = 339,349.65

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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.