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Finding the Fourth Proportional to 561,736.90, 843,205.06 and 242,046.53

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Solution

The fourth proportional to 561,736.90, 843,205.06 and 242,046.53 is: 363,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,736.90 : 843,205.06 = 242,046.53 : x
  2. Step 2: Convert to fraction form
    561,736.90/843,205.06 = 242,046.53/x
  3. Step 3: Cross multiply
    561,736.90x = 843,205.06 × 242,046.53
  4. Step 4: Simplify right side
    561,736.90x = 204,094,863,639.58
  5. Step 5: Solve for x
    x = 204,094,863,639.58/561,736.90
  6. Step 6: Final answer
    x = 363,328.21

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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.