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Finding the Fourth Proportional to 404,034, 606,138.48 and 154,716

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Solution

The fourth proportional to 404,034, 606,138.48 and 154,716 is: 232,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,034 : 606,138.48 = 154,716 : x
  2. Step 2: Convert to fraction form
    404,034/606,138.48 = 154,716/x
  3. Step 3: Cross multiply
    404,034x = 606,138.48 × 154,716
  4. Step 4: Simplify right side
    404,034x = 93,779,321,071.68
  5. Step 5: Solve for x
    x = 93,779,321,071.68/404,034
  6. Step 6: Final answer
    x = 232,107.50

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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.