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Finding the Fourth Proportional to 585,977, 878,444.22 and 211,916.84

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Solution

The fourth proportional to 585,977, 878,444.22 and 211,916.84 is: 317,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,977 : 878,444.22 = 211,916.84 : x
  2. Step 2: Convert to fraction form
    585,977/878,444.22 = 211,916.84/x
  3. Step 3: Cross multiply
    585,977x = 878,444.22 × 211,916.84
  4. Step 4: Simplify right side
    585,977x = 186,157,123,218.67
  5. Step 5: Solve for x
    x = 186,157,123,218.67/585,977
  6. Step 6: Final answer
    x = 317,686.74

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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.