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Finding the Fourth Proportional to 382,232.76, 527,435.40 and 210,122.40

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Solution

The fourth proportional to 382,232.76, 527,435.40 and 210,122.40 is: 289,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,232.76 : 527,435.40 = 210,122.40 : x
  2. Step 2: Convert to fraction form
    382,232.76/527,435.40 = 210,122.40/x
  3. Step 3: Cross multiply
    382,232.76x = 527,435.40 × 210,122.40
  4. Step 4: Simplify right side
    382,232.76x = 110,825,992,092.96
  5. Step 5: Solve for x
    x = 110,825,992,092.96/382,232.76
  6. Step 6: Final answer
    x = 289,943.73

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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.