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Finding the Fourth Proportional to 404,044, 606,153.50 and 154,726

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Solution

The fourth proportional to 404,044, 606,153.50 and 154,726 is: 232,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,044 : 606,153.50 = 154,726 : x
  2. Step 2: Convert to fraction form
    404,044/606,153.50 = 154,726/x
  3. Step 3: Cross multiply
    404,044x = 606,153.50 × 154,726
  4. Step 4: Simplify right side
    404,044x = 93,787,706,441
  5. Step 5: Solve for x
    x = 93,787,706,441/404,044
  6. Step 6: Final answer
    x = 232,122.51

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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.