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Finding the Fourth Proportional to 413,791.31, 617,065.89 and 410,007.74

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Solution

The fourth proportional to 413,791.31, 617,065.89 and 410,007.74 is: 611,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,791.31 : 617,065.89 = 410,007.74 : x
  2. Step 2: Convert to fraction form
    413,791.31/617,065.89 = 410,007.74/x
  3. Step 3: Cross multiply
    413,791.31x = 617,065.89 × 410,007.74
  4. Step 4: Simplify right side
    413,791.31x = 253,001,786,367.13
  5. Step 5: Solve for x
    x = 253,001,786,367.13/413,791.31
  6. Step 6: Final answer
    x = 611,423.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.