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Finding the Fourth Proportional to 408,036.80, 612,055.20 and 345,051.20

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Solution

The fourth proportional to 408,036.80, 612,055.20 and 345,051.20 is: 517,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036.80 : 612,055.20 = 345,051.20 : x
  2. Step 2: Convert to fraction form
    408,036.80/612,055.20 = 345,051.20/x
  3. Step 3: Cross multiply
    408,036.80x = 612,055.20 × 345,051.20
  4. Step 4: Simplify right side
    408,036.80x = 211,190,381,226.24
  5. Step 5: Solve for x
    x = 211,190,381,226.24/408,036.80
  6. Step 6: Final answer
    x = 517,576.80

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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.