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Finding the Fourth Proportional to 474,509.26, 654,801.87 and 290,691.64

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Solution

The fourth proportional to 474,509.26, 654,801.87 and 290,691.64 is: 401,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,509.26 : 654,801.87 = 290,691.64 : x
  2. Step 2: Convert to fraction form
    474,509.26/654,801.87 = 290,691.64/x
  3. Step 3: Cross multiply
    474,509.26x = 654,801.87 × 290,691.64
  4. Step 4: Simplify right side
    474,509.26x = 190,345,429,465.37
  5. Step 5: Solve for x
    x = 190,345,429,465.37/474,509.26
  6. Step 6: Final answer
    x = 401,141.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.