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Finding the Fourth Proportional to 460,233.60, 689,702.40 and 365,625.60

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Solution

The fourth proportional to 460,233.60, 689,702.40 and 365,625.60 is: 547,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,233.60 : 689,702.40 = 365,625.60 : x
  2. Step 2: Convert to fraction form
    460,233.60/689,702.40 = 365,625.60/x
  3. Step 3: Cross multiply
    460,233.60x = 689,702.40 × 365,625.60
  4. Step 4: Simplify right side
    460,233.60x = 252,172,853,821.44
  5. Step 5: Solve for x
    x = 252,172,853,821.44/460,233.60
  6. Step 6: Final answer
    x = 547,923.61

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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.