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Finding the Fourth Proportional to 384,801.36, 577,355.13 and 148,080.48

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Solution

The fourth proportional to 384,801.36, 577,355.13 and 148,080.48 is: 222,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,801.36 : 577,355.13 = 148,080.48 : x
  2. Step 2: Convert to fraction form
    384,801.36/577,355.13 = 148,080.48/x
  3. Step 3: Cross multiply
    384,801.36x = 577,355.13 × 148,080.48
  4. Step 4: Simplify right side
    384,801.36x = 85,495,024,780.86
  5. Step 5: Solve for x
    x = 85,495,024,780.86/384,801.36
  6. Step 6: Final answer
    x = 222,179.63

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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.