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Finding the Fourth Proportional to 585,839.86, 877,900.05 and 330,170.16

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Solution

The fourth proportional to 585,839.86, 877,900.05 and 330,170.16 is: 494,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,839.86 : 877,900.05 = 330,170.16 : x
  2. Step 2: Convert to fraction form
    585,839.86/877,900.05 = 330,170.16/x
  3. Step 3: Cross multiply
    585,839.86x = 877,900.05 × 330,170.16
  4. Step 4: Simplify right side
    585,839.86x = 289,856,399,972.51
  5. Step 5: Solve for x
    x = 289,856,399,972.51/585,839.86
  6. Step 6: Final answer
    x = 494,770.70

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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.