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Finding the Fourth Proportional to 331,702.47, 457,749.54 and 188,462.70

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Solution

The fourth proportional to 331,702.47, 457,749.54 and 188,462.70 is: 260,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,702.47 : 457,749.54 = 188,462.70 : x
  2. Step 2: Convert to fraction form
    331,702.47/457,749.54 = 188,462.70/x
  3. Step 3: Cross multiply
    331,702.47x = 457,749.54 × 188,462.70
  4. Step 4: Simplify right side
    331,702.47x = 86,268,714,232.16
  5. Step 5: Solve for x
    x = 86,268,714,232.16/331,702.47
  6. Step 6: Final answer
    x = 260,078.60

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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.