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Finding the Fourth Proportional to 413,103, 571,037.13 and 344,722.80

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Solution

The fourth proportional to 413,103, 571,037.13 and 344,722.80 is: 476,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,103 : 571,037.13 = 344,722.80 : x
  2. Step 2: Convert to fraction form
    413,103/571,037.13 = 344,722.80/x
  3. Step 3: Cross multiply
    413,103x = 571,037.13 × 344,722.80
  4. Step 4: Simplify right side
    413,103x = 196,849,518,357.56
  5. Step 5: Solve for x
    x = 196,849,518,357.56/413,103
  6. Step 6: Final answer
    x = 476,514.38

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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.