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Finding the Fourth Proportional to 564,077.80, 845,949 and 164,611.30

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Solution

The fourth proportional to 564,077.80, 845,949 and 164,611.30 is: 246,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,077.80 : 845,949 = 164,611.30 : x
  2. Step 2: Convert to fraction form
    564,077.80/845,949 = 164,611.30/x
  3. Step 3: Cross multiply
    564,077.80x = 845,949 × 164,611.30
  4. Step 4: Simplify right side
    564,077.80x = 139,252,764,623.70
  5. Step 5: Solve for x
    x = 139,252,764,623.70/564,077.80
  6. Step 6: Final answer
    x = 246,868.01

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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.