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Finding the Fourth Proportional to 324,702.36, 487,102.14 and 114,303.24

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Solution

The fourth proportional to 324,702.36, 487,102.14 and 114,303.24 is: 171,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,702.36 : 487,102.14 = 114,303.24 : x
  2. Step 2: Convert to fraction form
    324,702.36/487,102.14 = 114,303.24/x
  3. Step 3: Cross multiply
    324,702.36x = 487,102.14 × 114,303.24
  4. Step 4: Simplify right side
    324,702.36x = 55,677,352,812.93
  5. Step 5: Solve for x
    x = 55,677,352,812.93/324,702.36
  6. Step 6: Final answer
    x = 171,471.97

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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.