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Finding the Fourth Proportional to 425,126.16, 586,630.68 and 261,756.72

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Solution

The fourth proportional to 425,126.16, 586,630.68 and 261,756.72 is: 361,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,126.16 : 586,630.68 = 261,756.72 : x
  2. Step 2: Convert to fraction form
    425,126.16/586,630.68 = 261,756.72/x
  3. Step 3: Cross multiply
    425,126.16x = 586,630.68 × 261,756.72
  4. Step 4: Simplify right side
    425,126.16x = 153,554,522,648.17
  5. Step 5: Solve for x
    x = 153,554,522,648.17/425,126.16
  6. Step 6: Final answer
    x = 361,197.54

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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.