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Finding the Fourth Proportional to 362,524.84, 499,894.23 and 226,509.10

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Solution

The fourth proportional to 362,524.84, 499,894.23 and 226,509.10 is: 312,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,524.84 : 499,894.23 = 226,509.10 : x
  2. Step 2: Convert to fraction form
    362,524.84/499,894.23 = 226,509.10/x
  3. Step 3: Cross multiply
    362,524.84x = 499,894.23 × 226,509.10
  4. Step 4: Simplify right side
    362,524.84x = 113,230,592,132.49
  5. Step 5: Solve for x
    x = 113,230,592,132.49/362,524.84
  6. Step 6: Final answer
    x = 312,338.85

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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.