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Finding the Fourth Proportional to 400,573.40, 601,067.16 and 176,091.44

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Solution

The fourth proportional to 400,573.40, 601,067.16 and 176,091.44 is: 264,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,573.40 : 601,067.16 = 176,091.44 : x
  2. Step 2: Convert to fraction form
    400,573.40/601,067.16 = 176,091.44/x
  3. Step 3: Cross multiply
    400,573.40x = 601,067.16 × 176,091.44
  4. Step 4: Simplify right side
    400,573.40x = 105,842,781,741.11
  5. Step 5: Solve for x
    x = 105,842,781,741.11/400,573.40
  6. Step 6: Final answer
    x = 264,228.18

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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.