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Finding the Fourth Proportional to 285,296.42, 393,709.04 and 157,971.98

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Solution

The fourth proportional to 285,296.42, 393,709.04 and 157,971.98 is: 218,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,296.42 : 393,709.04 = 157,971.98 : x
  2. Step 2: Convert to fraction form
    285,296.42/393,709.04 = 157,971.98/x
  3. Step 3: Cross multiply
    285,296.42x = 393,709.04 × 157,971.98
  4. Step 4: Simplify right side
    285,296.42x = 62,194,996,592.70
  5. Step 5: Solve for x
    x = 62,194,996,592.70/285,296.42
  6. Step 6: Final answer
    x = 218,001.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.