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Finding the Fourth Proportional to 283,807.74, 391,664.13 and 169,070.70

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Solution

The fourth proportional to 283,807.74, 391,664.13 and 169,070.70 is: 233,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,807.74 : 391,664.13 = 169,070.70 : x
  2. Step 2: Convert to fraction form
    283,807.74/391,664.13 = 169,070.70/x
  3. Step 3: Cross multiply
    283,807.74x = 391,664.13 × 169,070.70
  4. Step 4: Simplify right side
    283,807.74x = 66,218,928,623.99
  5. Step 5: Solve for x
    x = 66,218,928,623.99/283,807.74
  6. Step 6: Final answer
    x = 233,323.19

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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.