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Finding the Fourth Proportional to 617,786, 852,538.92 and 349,514

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Solution

The fourth proportional to 617,786, 852,538.92 and 349,514 is: 482,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,786 : 852,538.92 = 349,514 : x
  2. Step 2: Convert to fraction form
    617,786/852,538.92 = 349,514/x
  3. Step 3: Cross multiply
    617,786x = 852,538.92 × 349,514
  4. Step 4: Simplify right side
    617,786x = 297,974,288,084.88
  5. Step 5: Solve for x
    x = 297,974,288,084.88/617,786
  6. Step 6: Final answer
    x = 482,326.06

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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.