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Finding the Fourth Proportional to 564,806.40, 845,827.20 and 268,972.80

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Solution

The fourth proportional to 564,806.40, 845,827.20 and 268,972.80 is: 402,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,806.40 : 845,827.20 = 268,972.80 : x
  2. Step 2: Convert to fraction form
    564,806.40/845,827.20 = 268,972.80/x
  3. Step 3: Cross multiply
    564,806.40x = 845,827.20 × 268,972.80
  4. Step 4: Simplify right side
    564,806.40x = 227,504,510,300.16
  5. Step 5: Solve for x
    x = 227,504,510,300.16/564,806.40
  6. Step 6: Final answer
    x = 402,800.87

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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.