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Finding the Fourth Proportional to 675,761.47, 1,012,575.20 and 548,783.84

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Solution

The fourth proportional to 675,761.47, 1,012,575.20 and 548,783.84 is: 822,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,761.47 : 1,012,575.20 = 548,783.84 : x
  2. Step 2: Convert to fraction form
    675,761.47/1,012,575.20 = 548,783.84/x
  3. Step 3: Cross multiply
    675,761.47x = 1,012,575.20 × 548,783.84
  4. Step 4: Simplify right side
    675,761.47x = 555,684,906,332.29
  5. Step 5: Solve for x
    x = 555,684,906,332.29/675,761.47
  6. Step 6: Final answer
    x = 822,309.25

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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.