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Finding the Fourth Proportional to 564,004.40, 846,121.80 and 190,065.20

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Solution

The fourth proportional to 564,004.40, 846,121.80 and 190,065.20 is: 285,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,004.40 : 846,121.80 = 190,065.20 : x
  2. Step 2: Convert to fraction form
    564,004.40/846,121.80 = 190,065.20/x
  3. Step 3: Cross multiply
    564,004.40x = 846,121.80 × 190,065.20
  4. Step 4: Simplify right side
    564,004.40x = 160,818,309,141.36
  5. Step 5: Solve for x
    x = 160,818,309,141.36/564,004.40
  6. Step 6: Final answer
    x = 285,136.62

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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.