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Finding the Fourth Proportional to 413,934.71, 571,101.44 and 241,728.44

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Solution

The fourth proportional to 413,934.71, 571,101.44 and 241,728.44 is: 333,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,934.71 : 571,101.44 = 241,728.44 : x
  2. Step 2: Convert to fraction form
    413,934.71/571,101.44 = 241,728.44/x
  3. Step 3: Cross multiply
    413,934.71x = 571,101.44 × 241,728.44
  4. Step 4: Simplify right side
    413,934.71x = 138,051,456,108.80
  5. Step 5: Solve for x
    x = 138,051,456,108.80/413,934.71
  6. Step 6: Final answer
    x = 333,510.22

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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.