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Finding the Fourth Proportional to 283,784.99, 391,625.94 and 156,465.14

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Solution

The fourth proportional to 283,784.99, 391,625.94 and 156,465.14 is: 215,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,784.99 : 391,625.94 = 156,465.14 : x
  2. Step 2: Convert to fraction form
    283,784.99/391,625.94 = 156,465.14/x
  3. Step 3: Cross multiply
    283,784.99x = 391,625.94 × 156,465.14
  4. Step 4: Simplify right side
    283,784.99x = 61,275,807,529.73
  5. Step 5: Solve for x
    x = 61,275,807,529.73/283,784.99
  6. Step 6: Final answer
    x = 215,923.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.