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Finding the Fourth Proportional to 500,817.84, 751,469.76 and 220,298.64

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Solution

The fourth proportional to 500,817.84, 751,469.76 and 220,298.64 is: 330,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,817.84 : 751,469.76 = 220,298.64 : x
  2. Step 2: Convert to fraction form
    500,817.84/751,469.76 = 220,298.64/x
  3. Step 3: Cross multiply
    500,817.84x = 751,469.76 × 220,298.64
  4. Step 4: Simplify right side
    500,817.84x = 165,547,766,129.13
  5. Step 5: Solve for x
    x = 165,547,766,129.13/500,817.84
  6. Step 6: Final answer
    x = 330,554.85

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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.