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Finding the Fourth Proportional to 401,898.30, 602,847.45 and 165,410.70

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Solution

The fourth proportional to 401,898.30, 602,847.45 and 165,410.70 is: 248,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,898.30 : 602,847.45 = 165,410.70 : x
  2. Step 2: Convert to fraction form
    401,898.30/602,847.45 = 165,410.70/x
  3. Step 3: Cross multiply
    401,898.30x = 602,847.45 × 165,410.70
  4. Step 4: Simplify right side
    401,898.30x = 99,717,418,697.72
  5. Step 5: Solve for x
    x = 99,717,418,697.72/401,898.30
  6. Step 6: Final answer
    x = 248,116.05

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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.