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Finding the Fourth Proportional to 356,085, 533,712.46 and 198,237.96

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Solution

The fourth proportional to 356,085, 533,712.46 and 198,237.96 is: 297,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,085 : 533,712.46 = 198,237.96 : x
  2. Step 2: Convert to fraction form
    356,085/533,712.46 = 198,237.96/x
  3. Step 3: Cross multiply
    356,085x = 533,712.46 × 198,237.96
  4. Step 4: Simplify right side
    356,085x = 105,802,069,296.98
  5. Step 5: Solve for x
    x = 105,802,069,296.98/356,085
  6. Step 6: Final answer
    x = 297,125.88

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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.