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Finding the Fourth Proportional to 329,276.64, 493,919.52 and 217,673.76

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Solution

The fourth proportional to 329,276.64, 493,919.52 and 217,673.76 is: 326,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,276.64 : 493,919.52 = 217,673.76 : x
  2. Step 2: Convert to fraction form
    329,276.64/493,919.52 = 217,673.76/x
  3. Step 3: Cross multiply
    329,276.64x = 493,919.52 × 217,673.76
  4. Step 4: Simplify right side
    329,276.64x = 107,513,319,055.80
  5. Step 5: Solve for x
    x = 107,513,319,055.80/329,276.64
  6. Step 6: Final answer
    x = 326,513.65

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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.