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Finding the Fourth Proportional to 502,171.92, 693,097.83 and 298,336.05

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Solution

The fourth proportional to 502,171.92, 693,097.83 and 298,336.05 is: 411,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,171.92 : 693,097.83 = 298,336.05 : x
  2. Step 2: Convert to fraction form
    502,171.92/693,097.83 = 298,336.05/x
  3. Step 3: Cross multiply
    502,171.92x = 693,097.83 × 298,336.05
  4. Step 4: Simplify right side
    502,171.92x = 206,776,068,865.77
  5. Step 5: Solve for x
    x = 206,776,068,865.77/502,171.92
  6. Step 6: Final answer
    x = 411,763.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.