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Finding the Fourth Proportional to 563,603.80, 845,438.10 and 164,306.20

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Solution

The fourth proportional to 563,603.80, 845,438.10 and 164,306.20 is: 246,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,603.80 : 845,438.10 = 164,306.20 : x
  2. Step 2: Convert to fraction form
    563,603.80/845,438.10 = 164,306.20/x
  3. Step 3: Cross multiply
    563,603.80x = 845,438.10 × 164,306.20
  4. Step 4: Simplify right side
    563,603.80x = 138,910,721,546.22
  5. Step 5: Solve for x
    x = 138,910,721,546.22/563,603.80
  6. Step 6: Final answer
    x = 246,468.75

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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.