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Finding the Fourth Proportional to 418,628.12, 577,694.78 and 237,357.40

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Solution

The fourth proportional to 418,628.12, 577,694.78 and 237,357.40 is: 327,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,628.12 : 577,694.78 = 237,357.40 : x
  2. Step 2: Convert to fraction form
    418,628.12/577,694.78 = 237,357.40/x
  3. Step 3: Cross multiply
    418,628.12x = 577,694.78 × 237,357.40
  4. Step 4: Simplify right side
    418,628.12x = 137,120,130,974.37
  5. Step 5: Solve for x
    x = 137,120,130,974.37/418,628.12
  6. Step 6: Final answer
    x = 327,546.39

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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.