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Finding the Fourth Proportional to 391,569.40, 586,187.70 and 233,716.60

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Solution

The fourth proportional to 391,569.40, 586,187.70 and 233,716.60 is: 349,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,569.40 : 586,187.70 = 233,716.60 : x
  2. Step 2: Convert to fraction form
    391,569.40/586,187.70 = 233,716.60/x
  3. Step 3: Cross multiply
    391,569.40x = 586,187.70 × 233,716.60
  4. Step 4: Simplify right side
    391,569.40x = 137,001,796,205.82
  5. Step 5: Solve for x
    x = 137,001,796,205.82/391,569.40
  6. Step 6: Final answer
    x = 349,878.71

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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.