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Finding the Fourth Proportional to 464,187.80, 696,512.10 and 183,714.20

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Solution

The fourth proportional to 464,187.80, 696,512.10 and 183,714.20 is: 275,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,187.80 : 696,512.10 = 183,714.20 : x
  2. Step 2: Convert to fraction form
    464,187.80/696,512.10 = 183,714.20/x
  3. Step 3: Cross multiply
    464,187.80x = 696,512.10 × 183,714.20
  4. Step 4: Simplify right side
    464,187.80x = 127,959,163,241.82
  5. Step 5: Solve for x
    x = 127,959,163,241.82/464,187.80
  6. Step 6: Final answer
    x = 275,662.49

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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.