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Finding the Fourth Proportional to 315,485.82, 472,854.24 and 182,090.16

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Solution

The fourth proportional to 315,485.82, 472,854.24 and 182,090.16 is: 272,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,485.82 : 472,854.24 = 182,090.16 : x
  2. Step 2: Convert to fraction form
    315,485.82/472,854.24 = 182,090.16/x
  3. Step 3: Cross multiply
    315,485.82x = 472,854.24 × 182,090.16
  4. Step 4: Simplify right side
    315,485.82x = 86,102,104,218.28
  5. Step 5: Solve for x
    x = 86,102,104,218.28/315,485.82
  6. Step 6: Final answer
    x = 272,919.09

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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.