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Finding the Fourth Proportional to 419,596.23, 579,257.24 and 284,344.77

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Solution

The fourth proportional to 419,596.23, 579,257.24 and 284,344.77 is: 392,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,596.23 : 579,257.24 = 284,344.77 : x
  2. Step 2: Convert to fraction form
    419,596.23/579,257.24 = 284,344.77/x
  3. Step 3: Cross multiply
    419,596.23x = 579,257.24 × 284,344.77
  4. Step 4: Simplify right side
    419,596.23x = 164,708,765,256.91
  5. Step 5: Solve for x
    x = 164,708,765,256.91/419,596.23
  6. Step 6: Final answer
    x = 392,541.10

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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.