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Finding the Fourth Proportional to 572,204, 858,098.64 and 256,498.40

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Solution

The fourth proportional to 572,204, 858,098.64 and 256,498.40 is: 384,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,204 : 858,098.64 = 256,498.40 : x
  2. Step 2: Convert to fraction form
    572,204/858,098.64 = 256,498.40/x
  3. Step 3: Cross multiply
    572,204x = 858,098.64 × 256,498.40
  4. Step 4: Simplify right side
    572,204x = 220,100,928,202.18
  5. Step 5: Solve for x
    x = 220,100,928,202.18/572,204
  6. Step 6: Final answer
    x = 384,654.65

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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.