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Finding the Fourth Proportional to 503,497, 755,541.96 and 223,016.68

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Solution

The fourth proportional to 503,497, 755,541.96 and 223,016.68 is: 334,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,497 : 755,541.96 = 223,016.68 : x
  2. Step 2: Convert to fraction form
    503,497/755,541.96 = 223,016.68/x
  3. Step 3: Cross multiply
    503,497x = 755,541.96 × 223,016.68
  4. Step 4: Simplify right side
    503,497x = 168,498,459,519.89
  5. Step 5: Solve for x
    x = 168,498,459,519.89/503,497
  6. Step 6: Final answer
    x = 334,656.33

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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.