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Finding the Fourth Proportional to 328,810.71, 493,229.73 and 104,166.17

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Solution

The fourth proportional to 328,810.71, 493,229.73 and 104,166.17 is: 156,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,810.71 : 493,229.73 = 104,166.17 : x
  2. Step 2: Convert to fraction form
    328,810.71/493,229.73 = 104,166.17/x
  3. Step 3: Cross multiply
    328,810.71x = 493,229.73 × 104,166.17
  4. Step 4: Simplify right side
    328,810.71x = 51,377,851,904.23
  5. Step 5: Solve for x
    x = 51,377,851,904.23/328,810.71
  6. Step 6: Final answer
    x = 156,253.58

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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.