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Finding the Fourth Proportional to 299,156.90, 448,980.15 and 296,824.10

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Solution

The fourth proportional to 299,156.90, 448,980.15 and 296,824.10 is: 445,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,156.90 : 448,980.15 = 296,824.10 : x
  2. Step 2: Convert to fraction form
    299,156.90/448,980.15 = 296,824.10/x
  3. Step 3: Cross multiply
    299,156.90x = 448,980.15 × 296,824.10
  4. Step 4: Simplify right side
    299,156.90x = 133,268,128,941.62
  5. Step 5: Solve for x
    x = 133,268,128,941.62/299,156.90
  6. Step 6: Final answer
    x = 445,479.04

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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.