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Finding the Fourth Proportional to 408,094.30, 612,141.45 and 295,245.10

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Solution

The fourth proportional to 408,094.30, 612,141.45 and 295,245.10 is: 442,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094.30 : 612,141.45 = 295,245.10 : x
  2. Step 2: Convert to fraction form
    408,094.30/612,141.45 = 295,245.10/x
  3. Step 3: Cross multiply
    408,094.30x = 612,141.45 × 295,245.10
  4. Step 4: Simplify right side
    408,094.30x = 180,731,763,619.40
  5. Step 5: Solve for x
    x = 180,731,763,619.40/408,094.30
  6. Step 6: Final answer
    x = 442,867.65

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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.