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Finding the Fourth Proportional to 299,270.40, 448,905.60 and 77,654.40

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Solution

The fourth proportional to 299,270.40, 448,905.60 and 77,654.40 is: 116,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,270.40 : 448,905.60 = 77,654.40 : x
  2. Step 2: Convert to fraction form
    299,270.40/448,905.60 = 77,654.40/x
  3. Step 3: Cross multiply
    299,270.40x = 448,905.60 × 77,654.40
  4. Step 4: Simplify right side
    299,270.40x = 34,859,495,024.64
  5. Step 5: Solve for x
    x = 34,859,495,024.64/299,270.40
  6. Step 6: Final answer
    x = 116,481.60

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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.