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Finding the Fourth Proportional to 441,677.60, 661,738.80 and 362,362.40

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Solution

The fourth proportional to 441,677.60, 661,738.80 and 362,362.40 is: 542,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,677.60 : 661,738.80 = 362,362.40 : x
  2. Step 2: Convert to fraction form
    441,677.60/661,738.80 = 362,362.40/x
  3. Step 3: Cross multiply
    441,677.60x = 661,738.80 × 362,362.40
  4. Step 4: Simplify right side
    441,677.60x = 239,789,259,741.12
  5. Step 5: Solve for x
    x = 239,789,259,741.12/441,677.60
  6. Step 6: Final answer
    x = 542,905.64

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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.