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Finding the Fourth Proportional to 559,381.56, 772,002.28 and 341,578.20

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Solution

The fourth proportional to 559,381.56, 772,002.28 and 341,578.20 is: 471,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,381.56 : 772,002.28 = 341,578.20 : x
  2. Step 2: Convert to fraction form
    559,381.56/772,002.28 = 341,578.20/x
  3. Step 3: Cross multiply
    559,381.56x = 772,002.28 × 341,578.20
  4. Step 4: Simplify right side
    559,381.56x = 263,699,149,198.30
  5. Step 5: Solve for x
    x = 263,699,149,198.30/559,381.56
  6. Step 6: Final answer
    x = 471,411.95

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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.