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Finding the Fourth Proportional to 331,724.52, 457,763.30 and 188,465.64

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Solution

The fourth proportional to 331,724.52, 457,763.30 and 188,465.64 is: 260,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,724.52 : 457,763.30 = 188,465.64 : x
  2. Step 2: Convert to fraction form
    331,724.52/457,763.30 = 188,465.64/x
  3. Step 3: Cross multiply
    331,724.52x = 457,763.30 × 188,465.64
  4. Step 4: Simplify right side
    331,724.52x = 86,272,653,303.01
  5. Step 5: Solve for x
    x = 86,272,653,303.01/331,724.52
  6. Step 6: Final answer
    x = 260,073.19

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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.