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Finding the Fourth Proportional to 214,348.64, 321,576.32 and 64,585.60

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Solution

The fourth proportional to 214,348.64, 321,576.32 and 64,585.60 is: 96,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,348.64 : 321,576.32 = 64,585.60 : x
  2. Step 2: Convert to fraction form
    214,348.64/321,576.32 = 64,585.60/x
  3. Step 3: Cross multiply
    214,348.64x = 321,576.32 × 64,585.60
  4. Step 4: Simplify right side
    214,348.64x = 20,769,199,572.99
  5. Step 5: Solve for x
    x = 20,769,199,572.99/214,348.64
  6. Step 6: Final answer
    x = 96,894.48

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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.