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Finding the Fourth Proportional to 404,184, 606,363.36 and 154,866.24

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Solution

The fourth proportional to 404,184, 606,363.36 and 154,866.24 is: 232,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,184 : 606,363.36 = 154,866.24 : x
  2. Step 2: Convert to fraction form
    404,184/606,363.36 = 154,866.24/x
  3. Step 3: Cross multiply
    404,184x = 606,363.36 × 154,866.24
  4. Step 4: Simplify right side
    404,184x = 93,905,213,636.97
  5. Step 5: Solve for x
    x = 93,905,213,636.97/404,184
  6. Step 6: Final answer
    x = 232,332.83

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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.