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Finding the Fourth Proportional to 419,537.47, 579,003.53 and 256,184.97

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Solution

The fourth proportional to 419,537.47, 579,003.53 and 256,184.97 is: 353,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,537.47 : 579,003.53 = 256,184.97 : x
  2. Step 2: Convert to fraction form
    419,537.47/579,003.53 = 256,184.97/x
  3. Step 3: Cross multiply
    419,537.47x = 579,003.53 × 256,184.97
  4. Step 4: Simplify right side
    419,537.47x = 148,332,000,682.02
  5. Step 5: Solve for x
    x = 148,332,000,682.02/419,537.47
  6. Step 6: Final answer
    x = 353,560.80

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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.