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Finding the Fourth Proportional to 413,733.40, 620,600.10 and 256,269.40

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Solution

The fourth proportional to 413,733.40, 620,600.10 and 256,269.40 is: 384,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,733.40 : 620,600.10 = 256,269.40 : x
  2. Step 2: Convert to fraction form
    413,733.40/620,600.10 = 256,269.40/x
  3. Step 3: Cross multiply
    413,733.40x = 620,600.10 × 256,269.40
  4. Step 4: Simplify right side
    413,733.40x = 159,040,815,266.94
  5. Step 5: Solve for x
    x = 159,040,815,266.94/413,733.40
  6. Step 6: Final answer
    x = 384,404.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.