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Finding the Fourth Proportional to 410,846, 616,320.84 and 141,026.72

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Solution

The fourth proportional to 410,846, 616,320.84 and 141,026.72 is: 211,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846 : 616,320.84 = 141,026.72 : x
  2. Step 2: Convert to fraction form
    410,846/616,320.84 = 141,026.72/x
  3. Step 3: Cross multiply
    410,846x = 616,320.84 × 141,026.72
  4. Step 4: Simplify right side
    410,846x = 86,917,706,532.84
  5. Step 5: Solve for x
    x = 86,917,706,532.84/410,846
  6. Step 6: Final answer
    x = 211,557.87

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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.