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Finding the Fourth Proportional to 409,675.20, 614,512.80 and 241,713.60

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Solution

The fourth proportional to 409,675.20, 614,512.80 and 241,713.60 is: 362,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,675.20 : 614,512.80 = 241,713.60 : x
  2. Step 2: Convert to fraction form
    409,675.20/614,512.80 = 241,713.60/x
  3. Step 3: Cross multiply
    409,675.20x = 614,512.80 × 241,713.60
  4. Step 4: Simplify right side
    409,675.20x = 148,536,101,134.08
  5. Step 5: Solve for x
    x = 148,536,101,134.08/409,675.20
  6. Step 6: Final answer
    x = 362,570.40

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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.