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Finding the Fourth Proportional to 291,855.84, 402,743.70 and 169,338.75

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Solution

The fourth proportional to 291,855.84, 402,743.70 and 169,338.75 is: 233,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,855.84 : 402,743.70 = 169,338.75 : x
  2. Step 2: Convert to fraction form
    291,855.84/402,743.70 = 169,338.75/x
  3. Step 3: Cross multiply
    291,855.84x = 402,743.70 × 169,338.75
  4. Step 4: Simplify right side
    291,855.84x = 68,200,114,728.38
  5. Step 5: Solve for x
    x = 68,200,114,728.38/291,855.84
  6. Step 6: Final answer
    x = 233,677.40

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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.