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Finding the Fourth Proportional to 448,587.97, 619,147.46 and 257,706.61

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Solution

The fourth proportional to 448,587.97, 619,147.46 and 257,706.61 is: 355,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,587.97 : 619,147.46 = 257,706.61 : x
  2. Step 2: Convert to fraction form
    448,587.97/619,147.46 = 257,706.61/x
  3. Step 3: Cross multiply
    448,587.97x = 619,147.46 × 257,706.61
  4. Step 4: Simplify right side
    448,587.97x = 159,558,393,006.71
  5. Step 5: Solve for x
    x = 159,558,393,006.71/448,587.97
  6. Step 6: Final answer
    x = 355,690.31

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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.