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Finding the Fourth Proportional to 296,538.30, 444,807.45 and 146,801.70

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Solution

The fourth proportional to 296,538.30, 444,807.45 and 146,801.70 is: 220,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538.30 : 444,807.45 = 146,801.70 : x
  2. Step 2: Convert to fraction form
    296,538.30/444,807.45 = 146,801.70/x
  3. Step 3: Cross multiply
    296,538.30x = 444,807.45 × 146,801.70
  4. Step 4: Simplify right side
    296,538.30x = 65,298,489,832.67
  5. Step 5: Solve for x
    x = 65,298,489,832.67/296,538.30
  6. Step 6: Final answer
    x = 220,202.55

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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.