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Finding the Fourth Proportional to 298,766.61, 448,282.32 and 156,578.06

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Solution

The fourth proportional to 298,766.61, 448,282.32 and 156,578.06 is: 234,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,766.61 : 448,282.32 = 156,578.06 : x
  2. Step 2: Convert to fraction form
    298,766.61/448,282.32 = 156,578.06/x
  3. Step 3: Cross multiply
    298,766.61x = 448,282.32 × 156,578.06
  4. Step 4: Simplify right side
    298,766.61x = 70,191,176,531.44
  5. Step 5: Solve for x
    x = 70,191,176,531.44/298,766.61
  6. Step 6: Final answer
    x = 234,936.48

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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.