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Finding the Fourth Proportional to 502,173.32, 693,152.78 and 298,257.44

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Solution

The fourth proportional to 502,173.32, 693,152.78 and 298,257.44 is: 411,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,173.32 : 693,152.78 = 298,257.44 : x
  2. Step 2: Convert to fraction form
    502,173.32/693,152.78 = 298,257.44/x
  3. Step 3: Cross multiply
    502,173.32x = 693,152.78 × 298,257.44
  4. Step 4: Simplify right side
    502,173.32x = 206,737,968,734.63
  5. Step 5: Solve for x
    x = 206,737,968,734.63/502,173.32
  6. Step 6: Final answer
    x = 411,686.49

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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.