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Finding the Fourth Proportional to 408,054.40, 612,081.60 and 219,097.60

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Solution

The fourth proportional to 408,054.40, 612,081.60 and 219,097.60 is: 328,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.40 : 612,081.60 = 219,097.60 : x
  2. Step 2: Convert to fraction form
    408,054.40/612,081.60 = 219,097.60/x
  3. Step 3: Cross multiply
    408,054.40x = 612,081.60 × 219,097.60
  4. Step 4: Simplify right side
    408,054.40x = 134,105,609,564.16
  5. Step 5: Solve for x
    x = 134,105,609,564.16/408,054.40
  6. Step 6: Final answer
    x = 328,646.40

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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.