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Finding the Fourth Proportional to 408,052.40, 612,078.60 and 219,095.60

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Solution

The fourth proportional to 408,052.40, 612,078.60 and 219,095.60 is: 328,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.40 : 612,078.60 = 219,095.60 : x
  2. Step 2: Convert to fraction form
    408,052.40/612,078.60 = 219,095.60/x
  3. Step 3: Cross multiply
    408,052.40x = 612,078.60 × 219,095.60
  4. Step 4: Simplify right side
    408,052.40x = 134,103,728,114.16
  5. Step 5: Solve for x
    x = 134,103,728,114.16/408,052.40
  6. Step 6: Final answer
    x = 328,643.40

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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.