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Finding the Fourth Proportional to 564,837.60, 846,989.10 and 328,252.80

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Solution

The fourth proportional to 564,837.60, 846,989.10 and 328,252.80 is: 492,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,837.60 : 846,989.10 = 328,252.80 : x
  2. Step 2: Convert to fraction form
    564,837.60/846,989.10 = 328,252.80/x
  3. Step 3: Cross multiply
    564,837.60x = 846,989.10 × 328,252.80
  4. Step 4: Simplify right side
    564,837.60x = 278,026,543,644.48
  5. Step 5: Solve for x
    x = 278,026,543,644.48/564,837.60
  6. Step 6: Final answer
    x = 492,223.86

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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.