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Finding the Fourth Proportional to 564,808.40, 845,830.20 and 268,974.80

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Solution

The fourth proportional to 564,808.40, 845,830.20 and 268,974.80 is: 402,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,808.40 : 845,830.20 = 268,974.80 : x
  2. Step 2: Convert to fraction form
    564,808.40/845,830.20 = 268,974.80/x
  3. Step 3: Cross multiply
    564,808.40x = 845,830.20 × 268,974.80
  4. Step 4: Simplify right side
    564,808.40x = 227,507,008,878.96
  5. Step 5: Solve for x
    x = 227,507,008,878.96/564,808.40
  6. Step 6: Final answer
    x = 402,803.87

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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.