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Finding the Fourth Proportional to 893,981, 1,233,693.78 and 491,573

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Solution

The fourth proportional to 893,981, 1,233,693.78 and 491,573 is: 678,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,981 : 1,233,693.78 = 491,573 : x
  2. Step 2: Convert to fraction form
    893,981/1,233,693.78 = 491,573/x
  3. Step 3: Cross multiply
    893,981x = 1,233,693.78 × 491,573
  4. Step 4: Simplify right side
    893,981x = 606,450,552,515.94
  5. Step 5: Solve for x
    x = 606,450,552,515.94/893,981
  6. Step 6: Final answer
    x = 678,370.74

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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.