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Finding the Fourth Proportional to 354,460.62, 531,476.72 and 141,261.32

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Solution

The fourth proportional to 354,460.62, 531,476.72 and 141,261.32 is: 211,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,460.62 : 531,476.72 = 141,261.32 : x
  2. Step 2: Convert to fraction form
    354,460.62/531,476.72 = 141,261.32/x
  3. Step 3: Cross multiply
    354,460.62x = 531,476.72 × 141,261.32
  4. Step 4: Simplify right side
    354,460.62x = 75,077,103,016.47
  5. Step 5: Solve for x
    x = 75,077,103,016.47/354,460.62
  6. Step 6: Final answer
    x = 211,806.61

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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.