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Finding the Fourth Proportional to 328,981.25, 493,497.66 and 104,354.48

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Solution

The fourth proportional to 328,981.25, 493,497.66 and 104,354.48 is: 156,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,981.25 : 493,497.66 = 104,354.48 : x
  2. Step 2: Convert to fraction form
    328,981.25/493,497.66 = 104,354.48/x
  3. Step 3: Cross multiply
    328,981.25x = 493,497.66 × 104,354.48
  4. Step 4: Simplify right side
    328,981.25x = 51,498,689,223.03
  5. Step 5: Solve for x
    x = 51,498,689,223.03/328,981.25
  6. Step 6: Final answer
    x = 156,539.89

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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.