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Finding the Fourth Proportional to 328,693.50, 493,114.16 and 104,067.40

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Solution

The fourth proportional to 328,693.50, 493,114.16 and 104,067.40 is: 156,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,693.50 : 493,114.16 = 104,067.40 : x
  2. Step 2: Convert to fraction form
    328,693.50/493,114.16 = 104,067.40/x
  3. Step 3: Cross multiply
    328,693.50x = 493,114.16 × 104,067.40
  4. Step 4: Simplify right side
    328,693.50x = 51,317,108,534.38
  5. Step 5: Solve for x
    x = 51,317,108,534.38/328,693.50
  6. Step 6: Final answer
    x = 156,124.50

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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.