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Finding the Fourth Proportional to 562,540.68, 776,306.12 and 307,891.86

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Solution

The fourth proportional to 562,540.68, 776,306.12 and 307,891.86 is: 424,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,540.68 : 776,306.12 = 307,891.86 : x
  2. Step 2: Convert to fraction form
    562,540.68/776,306.12 = 307,891.86/x
  3. Step 3: Cross multiply
    562,540.68x = 776,306.12 × 307,891.86
  4. Step 4: Simplify right side
    562,540.68x = 239,018,335,216.18
  5. Step 5: Solve for x
    x = 239,018,335,216.18/562,540.68
  6. Step 6: Final answer
    x = 424,890.76

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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.