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Finding the Fourth Proportional to 293,856.70, 440,783.16 and 141,876.40

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Solution

The fourth proportional to 293,856.70, 440,783.16 and 141,876.40 is: 212,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,856.70 : 440,783.16 = 141,876.40 : x
  2. Step 2: Convert to fraction form
    293,856.70/440,783.16 = 141,876.40/x
  3. Step 3: Cross multiply
    293,856.70x = 440,783.16 × 141,876.40
  4. Step 4: Simplify right side
    293,856.70x = 62,536,727,921.42
  5. Step 5: Solve for x
    x = 62,536,727,921.42/293,856.70
  6. Step 6: Final answer
    x = 212,813.69

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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.