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Finding the Fourth Proportional to 467,702.24, 701,559.84 and 152,160.80

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Solution

The fourth proportional to 467,702.24, 701,559.84 and 152,160.80 is: 228,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,702.24 : 701,559.84 = 152,160.80 : x
  2. Step 2: Convert to fraction form
    467,702.24/701,559.84 = 152,160.80/x
  3. Step 3: Cross multiply
    467,702.24x = 701,559.84 × 152,160.80
  4. Step 4: Simplify right side
    467,702.24x = 106,749,906,502.27
  5. Step 5: Solve for x
    x = 106,749,906,502.27/467,702.24
  6. Step 6: Final answer
    x = 228,243.31

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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.