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Finding the Fourth Proportional to 425,126.41, 586,631.03 and 261,756.97

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Solution

The fourth proportional to 425,126.41, 586,631.03 and 261,756.97 is: 361,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,126.41 : 586,631.03 = 261,756.97 : x
  2. Step 2: Convert to fraction form
    425,126.41/586,631.03 = 261,756.97/x
  3. Step 3: Cross multiply
    425,126.41x = 586,631.03 × 261,756.97
  4. Step 4: Simplify right side
    425,126.41x = 153,554,760,920.78
  5. Step 5: Solve for x
    x = 153,554,760,920.78/425,126.41
  6. Step 6: Final answer
    x = 361,197.89

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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.