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Finding the Fourth Proportional to 564,254.40, 845,506.56 and 327,008.64

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Solution

The fourth proportional to 564,254.40, 845,506.56 and 327,008.64 is: 490,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,254.40 : 845,506.56 = 327,008.64 : x
  2. Step 2: Convert to fraction form
    564,254.40/845,506.56 = 327,008.64/x
  3. Step 3: Cross multiply
    564,254.40x = 845,506.56 × 327,008.64
  4. Step 4: Simplify right side
    564,254.40x = 276,487,950,296.68
  5. Step 5: Solve for x
    x = 276,487,950,296.68/564,254.40
  6. Step 6: Final answer
    x = 490,005.84

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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.