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Finding the Fourth Proportional to 419,535.22, 579,000.42 and 256,182.72

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Solution

The fourth proportional to 419,535.22, 579,000.42 and 256,182.72 is: 353,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,535.22 : 579,000.42 = 256,182.72 : x
  2. Step 2: Convert to fraction form
    419,535.22/579,000.42 = 256,182.72/x
  3. Step 3: Cross multiply
    419,535.22x = 579,000.42 × 256,182.72
  4. Step 4: Simplify right side
    419,535.22x = 148,329,901,516.06
  5. Step 5: Solve for x
    x = 148,329,901,516.06/419,535.22
  6. Step 6: Final answer
    x = 353,557.69

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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.