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Finding the Fourth Proportional to 379,842.84, 569,958.66 and 155,369.16

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Solution

The fourth proportional to 379,842.84, 569,958.66 and 155,369.16 is: 233,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,842.84 : 569,958.66 = 155,369.16 : x
  2. Step 2: Convert to fraction form
    379,842.84/569,958.66 = 155,369.16/x
  3. Step 3: Cross multiply
    379,842.84x = 569,958.66 × 155,369.16
  4. Step 4: Simplify right side
    379,842.84x = 88,553,998,238.93
  5. Step 5: Solve for x
    x = 88,553,998,238.93/379,842.84
  6. Step 6: Final answer
    x = 233,133.26

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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.