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Finding the Fourth Proportional to 590,332, 885,498 and 196,348

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Solution

The fourth proportional to 590,332, 885,498 and 196,348 is: 294,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,332 : 885,498 = 196,348 : x
  2. Step 2: Convert to fraction form
    590,332/885,498 = 196,348/x
  3. Step 3: Cross multiply
    590,332x = 885,498 × 196,348
  4. Step 4: Simplify right side
    590,332x = 173,865,761,304
  5. Step 5: Solve for x
    x = 173,865,761,304/590,332
  6. Step 6: Final answer
    x = 294,522

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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.