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Finding the Fourth Proportional to 563,856.80, 845,817.60 and 164,559.20

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Solution

The fourth proportional to 563,856.80, 845,817.60 and 164,559.20 is: 246,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,856.80 : 845,817.60 = 164,559.20 : x
  2. Step 2: Convert to fraction form
    563,856.80/845,817.60 = 164,559.20/x
  3. Step 3: Cross multiply
    563,856.80x = 845,817.60 × 164,559.20
  4. Step 4: Simplify right side
    563,856.80x = 139,187,067,601.92
  5. Step 5: Solve for x
    x = 139,187,067,601.92/563,856.80
  6. Step 6: Final answer
    x = 246,848.26

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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.