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Finding the Fourth Proportional to 362,697.60, 544,564.80 and 205,233.60

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Solution

The fourth proportional to 362,697.60, 544,564.80 and 205,233.60 is: 308,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,697.60 : 544,564.80 = 205,233.60 : x
  2. Step 2: Convert to fraction form
    362,697.60/544,564.80 = 205,233.60/x
  3. Step 3: Cross multiply
    362,697.60x = 544,564.80 × 205,233.60
  4. Step 4: Simplify right side
    362,697.60x = 111,762,994,337.28
  5. Step 5: Solve for x
    x = 111,762,994,337.28/362,697.60
  6. Step 6: Final answer
    x = 308,143.74

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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.