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Finding the Fourth Proportional to 286,215.10, 429,322.65 and 202,234.30

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Solution

The fourth proportional to 286,215.10, 429,322.65 and 202,234.30 is: 303,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,215.10 : 429,322.65 = 202,234.30 : x
  2. Step 2: Convert to fraction form
    286,215.10/429,322.65 = 202,234.30/x
  3. Step 3: Cross multiply
    286,215.10x = 429,322.65 × 202,234.30
  4. Step 4: Simplify right side
    286,215.10x = 86,823,765,596.90
  5. Step 5: Solve for x
    x = 86,823,765,596.90/286,215.10
  6. Step 6: Final answer
    x = 303,351.45

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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.