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Finding the Fourth Proportional to 449,760.64, 620,713.92 and 258,782.08

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Solution

The fourth proportional to 449,760.64, 620,713.92 and 258,782.08 is: 357,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,760.64 : 620,713.92 = 258,782.08 : x
  2. Step 2: Convert to fraction form
    449,760.64/620,713.92 = 258,782.08/x
  3. Step 3: Cross multiply
    449,760.64x = 620,713.92 × 258,782.08
  4. Step 4: Simplify right side
    449,760.64x = 160,629,639,302.55
  5. Step 5: Solve for x
    x = 160,629,639,302.55/449,760.64
  6. Step 6: Final answer
    x = 357,144.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.