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Finding the Fourth Proportional to 286,324.30, 429,377.10 and 86,578.30

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Solution

The fourth proportional to 286,324.30, 429,377.10 and 86,578.30 is: 129,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,324.30 : 429,377.10 = 86,578.30 : x
  2. Step 2: Convert to fraction form
    286,324.30/429,377.10 = 86,578.30/x
  3. Step 3: Cross multiply
    286,324.30x = 429,377.10 × 86,578.30
  4. Step 4: Simplify right side
    286,324.30x = 37,174,739,376.93
  5. Step 5: Solve for x
    x = 37,174,739,376.93/286,324.30
  6. Step 6: Final answer
    x = 129,834.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.