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Finding the Fourth Proportional to 299,402.47, 448,972.44 and 112,282.75

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Solution

The fourth proportional to 299,402.47, 448,972.44 and 112,282.75 is: 168,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,402.47 : 448,972.44 = 112,282.75 : x
  2. Step 2: Convert to fraction form
    299,402.47/448,972.44 = 112,282.75/x
  3. Step 3: Cross multiply
    299,402.47x = 448,972.44 × 112,282.75
  4. Step 4: Simplify right side
    299,402.47x = 50,411,860,237.41
  5. Step 5: Solve for x
    x = 50,411,860,237.41/299,402.47
  6. Step 6: Final answer
    x = 168,374.90

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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.