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Finding the Fourth Proportional to 404,042, 606,150.50 and 154,724

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Solution

The fourth proportional to 404,042, 606,150.50 and 154,724 is: 232,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,042 : 606,150.50 = 154,724 : x
  2. Step 2: Convert to fraction form
    404,042/606,150.50 = 154,724/x
  3. Step 3: Cross multiply
    404,042x = 606,150.50 × 154,724
  4. Step 4: Simplify right side
    404,042x = 93,786,029,962
  5. Step 5: Solve for x
    x = 93,786,029,962/404,042
  6. Step 6: Final answer
    x = 232,119.51

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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.