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Finding the Fourth Proportional to 429,442.65, 644,114.73 and 113,924.16

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Solution

The fourth proportional to 429,442.65, 644,114.73 and 113,924.16 is: 170,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,442.65 : 644,114.73 = 113,924.16 : x
  2. Step 2: Convert to fraction form
    429,442.65/644,114.73 = 113,924.16/x
  3. Step 3: Cross multiply
    429,442.65x = 644,114.73 × 113,924.16
  4. Step 4: Simplify right side
    429,442.65x = 73,380,229,558.88
  5. Step 5: Solve for x
    x = 73,380,229,558.88/429,442.65
  6. Step 6: Final answer
    x = 170,873.18

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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.