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Finding the Fourth Proportional to 299,147.90, 448,966.65 and 296,815.10

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Solution

The fourth proportional to 299,147.90, 448,966.65 and 296,815.10 is: 445,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.90 : 448,966.65 = 296,815.10 : x
  2. Step 2: Convert to fraction form
    299,147.90/448,966.65 = 296,815.10/x
  3. Step 3: Cross multiply
    299,147.90x = 448,966.65 × 296,815.10
  4. Step 4: Simplify right side
    299,147.90x = 133,260,081,116.42
  5. Step 5: Solve for x
    x = 133,260,081,116.42/299,147.90
  6. Step 6: Final answer
    x = 445,465.54

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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.