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Finding the Fourth Proportional to 290,842.92, 436,497.69 and 150,641.64

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Solution

The fourth proportional to 290,842.92, 436,497.69 and 150,641.64 is: 226,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,842.92 : 436,497.69 = 150,641.64 : x
  2. Step 2: Convert to fraction form
    290,842.92/436,497.69 = 150,641.64/x
  3. Step 3: Cross multiply
    290,842.92x = 436,497.69 × 150,641.64
  4. Step 4: Simplify right side
    290,842.92x = 65,754,727,877.81
  5. Step 5: Solve for x
    x = 65,754,727,877.81/290,842.92
  6. Step 6: Final answer
    x = 226,083.30

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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.