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Finding the Fourth Proportional to 431,783.60, 647,368.20 and 165,441.20

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Solution

The fourth proportional to 431,783.60, 647,368.20 and 165,441.20 is: 248,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,783.60 : 647,368.20 = 165,441.20 : x
  2. Step 2: Convert to fraction form
    431,783.60/647,368.20 = 165,441.20/x
  3. Step 3: Cross multiply
    431,783.60x = 647,368.20 × 165,441.20
  4. Step 4: Simplify right side
    431,783.60x = 107,101,371,849.84
  5. Step 5: Solve for x
    x = 107,101,371,849.84/431,783.60
  6. Step 6: Final answer
    x = 248,044.09

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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.