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Finding the Fourth Proportional to 614,432.25, 921,803.90 and 171,200.25

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Solution

The fourth proportional to 614,432.25, 921,803.90 and 171,200.25 is: 256,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,432.25 : 921,803.90 = 171,200.25 : x
  2. Step 2: Convert to fraction form
    614,432.25/921,803.90 = 171,200.25/x
  3. Step 3: Cross multiply
    614,432.25x = 921,803.90 × 171,200.25
  4. Step 4: Simplify right side
    614,432.25x = 157,813,057,274.97
  5. Step 5: Solve for x
    x = 157,813,057,274.97/614,432.25
  6. Step 6: Final answer
    x = 256,843.71

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1.5x scale

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.