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Finding the Fourth Proportional to 286,228.84, 429,314.10 and 75,888.04

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Solution

The fourth proportional to 286,228.84, 429,314.10 and 75,888.04 is: 113,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,228.84 : 429,314.10 = 75,888.04 : x
  2. Step 2: Convert to fraction form
    286,228.84/429,314.10 = 75,888.04/x
  3. Step 3: Cross multiply
    286,228.84x = 429,314.10 × 75,888.04
  4. Step 4: Simplify right side
    286,228.84x = 32,579,805,593.36
  5. Step 5: Solve for x
    x = 32,579,805,593.36/286,228.84
  6. Step 6: Final answer
    x = 113,824.33

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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.