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Finding the Fourth Proportional to 352,386, 486,696.33 and 232,065.09

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Solution

The fourth proportional to 352,386, 486,696.33 and 232,065.09 is: 320,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,386 : 486,696.33 = 232,065.09 : x
  2. Step 2: Convert to fraction form
    352,386/486,696.33 = 232,065.09/x
  3. Step 3: Cross multiply
    352,386x = 486,696.33 × 232,065.09
  4. Step 4: Simplify right side
    352,386x = 112,945,227,624.12
  5. Step 5: Solve for x
    x = 112,945,227,624.12/352,386
  6. Step 6: Final answer
    x = 320,515.65

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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.