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Finding the Fourth Proportional to 419,816.56, 579,519.32 and 284,034.69

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Solution

The fourth proportional to 419,816.56, 579,519.32 and 284,034.69 is: 392,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,816.56 : 579,519.32 = 284,034.69 : x
  2. Step 2: Convert to fraction form
    419,816.56/579,519.32 = 284,034.69/x
  3. Step 3: Cross multiply
    419,816.56x = 579,519.32 × 284,034.69
  4. Step 4: Simplify right side
    419,816.56x = 164,603,590,405.21
  5. Step 5: Solve for x
    x = 164,603,590,405.21/419,816.56
  6. Step 6: Final answer
    x = 392,084.56

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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.