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Finding the Fourth Proportional to 408,053.80, 612,080.70 and 362,564.20

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Solution

The fourth proportional to 408,053.80, 612,080.70 and 362,564.20 is: 543,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.80 : 612,080.70 = 362,564.20 : x
  2. Step 2: Convert to fraction form
    408,053.80/612,080.70 = 362,564.20/x
  3. Step 3: Cross multiply
    408,053.80x = 612,080.70 × 362,564.20
  4. Step 4: Simplify right side
    408,053.80x = 221,918,549,330.94
  5. Step 5: Solve for x
    x = 221,918,549,330.94/408,053.80
  6. Step 6: Final answer
    x = 543,846.30

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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.