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Finding the Fourth Proportional to 359,753.75, 496,525.16 and 214,568.84

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Solution

The fourth proportional to 359,753.75, 496,525.16 and 214,568.84 is: 296,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,753.75 : 496,525.16 = 214,568.84 : x
  2. Step 2: Convert to fraction form
    359,753.75/496,525.16 = 214,568.84/x
  3. Step 3: Cross multiply
    359,753.75x = 496,525.16 × 214,568.84
  4. Step 4: Simplify right side
    359,753.75x = 106,538,824,056.54
  5. Step 5: Solve for x
    x = 106,538,824,056.54/359,753.75
  6. Step 6: Final answer
    x = 296,143.75

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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.