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Finding the Fourth Proportional to 401,052.32, 601,654.48 and 161,184.88

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Solution

The fourth proportional to 401,052.32, 601,654.48 and 161,184.88 is: 241,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,052.32 : 601,654.48 = 161,184.88 : x
  2. Step 2: Convert to fraction form
    401,052.32/601,654.48 = 161,184.88/x
  3. Step 3: Cross multiply
    401,052.32x = 601,654.48 × 161,184.88
  4. Step 4: Simplify right side
    401,052.32x = 96,977,605,160.26
  5. Step 5: Solve for x
    x = 96,977,605,160.26/401,052.32
  6. Step 6: Final answer
    x = 241,807.86

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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.