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Finding the Fourth Proportional to 299,152.90, 448,974.15 and 296,820.10

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Solution

The fourth proportional to 299,152.90, 448,974.15 and 296,820.10 is: 445,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,152.90 : 448,974.15 = 296,820.10 : x
  2. Step 2: Convert to fraction form
    299,152.90/448,974.15 = 296,820.10/x
  3. Step 3: Cross multiply
    299,152.90x = 448,974.15 × 296,820.10
  4. Step 4: Simplify right side
    299,152.90x = 133,264,552,100.42
  5. Step 5: Solve for x
    x = 133,264,552,100.42/299,152.90
  6. Step 6: Final answer
    x = 445,473.04

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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.