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Finding the Fourth Proportional to 408,053.60, 612,080.40 and 258,462.80

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Solution

The fourth proportional to 408,053.60, 612,080.40 and 258,462.80 is: 387,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.60 : 612,080.40 = 258,462.80 : x
  2. Step 2: Convert to fraction form
    408,053.60/612,080.40 = 258,462.80/x
  3. Step 3: Cross multiply
    408,053.60x = 612,080.40 × 258,462.80
  4. Step 4: Simplify right side
    408,053.60x = 158,200,014,009.12
  5. Step 5: Solve for x
    x = 158,200,014,009.12/408,053.60
  6. Step 6: Final answer
    x = 387,694.20

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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.