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Finding the Fourth Proportional to 299,281.40, 448,943.70 and 180,697.40

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Solution

The fourth proportional to 299,281.40, 448,943.70 and 180,697.40 is: 271,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,281.40 : 448,943.70 = 180,697.40 : x
  2. Step 2: Convert to fraction form
    299,281.40/448,943.70 = 180,697.40/x
  3. Step 3: Cross multiply
    299,281.40x = 448,943.70 × 180,697.40
  4. Step 4: Simplify right side
    299,281.40x = 81,122,959,336.38
  5. Step 5: Solve for x
    x = 81,122,959,336.38/299,281.40
  6. Step 6: Final answer
    x = 271,059.14

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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.