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Finding the Fourth Proportional to 564,006.40, 846,124.80 and 190,067.20

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Solution

The fourth proportional to 564,006.40, 846,124.80 and 190,067.20 is: 285,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,006.40 : 846,124.80 = 190,067.20 : x
  2. Step 2: Convert to fraction form
    564,006.40/846,124.80 = 190,067.20/x
  3. Step 3: Cross multiply
    564,006.40x = 846,124.80 × 190,067.20
  4. Step 4: Simplify right side
    564,006.40x = 160,820,571,586.56
  5. Step 5: Solve for x
    x = 160,820,571,586.56/564,006.40
  6. Step 6: Final answer
    x = 285,139.62

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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.