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Finding the Fourth Proportional to 286,266.26, 429,466.83 and 86,588.30

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Solution

The fourth proportional to 286,266.26, 429,466.83 and 86,588.30 is: 129,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.26 : 429,466.83 = 86,588.30 : x
  2. Step 2: Convert to fraction form
    286,266.26/429,466.83 = 86,588.30/x
  3. Step 3: Cross multiply
    286,266.26x = 429,466.83 × 86,588.30
  4. Step 4: Simplify right side
    286,266.26x = 37,186,803,465.05
  5. Step 5: Solve for x
    x = 37,186,803,465.05/286,266.26
  6. Step 6: Final answer
    x = 129,902.85

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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.