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Finding the Fourth Proportional to 233,648.32, 350,895.04 and 214,894.72

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Solution

The fourth proportional to 233,648.32, 350,895.04 and 214,894.72 is: 322,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,648.32 : 350,895.04 = 214,894.72 : x
  2. Step 2: Convert to fraction form
    233,648.32/350,895.04 = 214,894.72/x
  3. Step 3: Cross multiply
    233,648.32x = 350,895.04 × 214,894.72
  4. Step 4: Simplify right side
    233,648.32x = 75,405,491,370.19
  5. Step 5: Solve for x
    x = 75,405,491,370.19/233,648.32
  6. Step 6: Final answer
    x = 322,730.72

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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.