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Finding the Fourth Proportional to 461,105.60, 692,176.80 and 356,388.80

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Solution

The fourth proportional to 461,105.60, 692,176.80 and 356,388.80 is: 534,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,105.60 : 692,176.80 = 356,388.80 : x
  2. Step 2: Convert to fraction form
    461,105.60/692,176.80 = 356,388.80/x
  3. Step 3: Cross multiply
    461,105.60x = 692,176.80 × 356,388.80
  4. Step 4: Simplify right side
    461,105.60x = 246,684,059,139.84
  5. Step 5: Solve for x
    x = 246,684,059,139.84/461,105.60
  6. Step 6: Final answer
    x = 534,983.87

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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.