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Finding the Fourth Proportional to 401,054.32, 601,657.48 and 161,186.88

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Solution

The fourth proportional to 401,054.32, 601,657.48 and 161,186.88 is: 241,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,054.32 : 601,657.48 = 161,186.88 : x
  2. Step 2: Convert to fraction form
    401,054.32/601,657.48 = 161,186.88/x
  3. Step 3: Cross multiply
    401,054.32x = 601,657.48 × 161,186.88
  4. Step 4: Simplify right side
    401,054.32x = 96,979,292,029.86
  5. Step 5: Solve for x
    x = 96,979,292,029.86/401,054.32
  6. Step 6: Final answer
    x = 241,810.86

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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.