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Finding the Fourth Proportional to 286,523.30, 428,910.15 and 223,537.70

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Solution

The fourth proportional to 286,523.30, 428,910.15 and 223,537.70 is: 334,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,523.30 : 428,910.15 = 223,537.70 : x
  2. Step 2: Convert to fraction form
    286,523.30/428,910.15 = 223,537.70/x
  3. Step 3: Cross multiply
    286,523.30x = 428,910.15 × 223,537.70
  4. Step 4: Simplify right side
    286,523.30x = 95,877,588,437.66
  5. Step 5: Solve for x
    x = 95,877,588,437.66/286,523.30
  6. Step 6: Final answer
    x = 334,624.05

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Why These Related Problems?

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