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Finding the Fourth Proportional to 391,431.74, 540,166.59 and 230,297.18

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Solution

The fourth proportional to 391,431.74, 540,166.59 and 230,297.18 is: 317,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,431.74 : 540,166.59 = 230,297.18 : x
  2. Step 2: Convert to fraction form
    391,431.74/540,166.59 = 230,297.18/x
  3. Step 3: Cross multiply
    391,431.74x = 540,166.59 × 230,297.18
  4. Step 4: Simplify right side
    391,431.74x = 124,398,839,706.38
  5. Step 5: Solve for x
    x = 124,398,839,706.38/391,431.74
  6. Step 6: Final answer
    x = 317,804.69

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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.