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Finding the Fourth Proportional to 402,232.43, 603,348.55 and 102,702.26

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Solution

The fourth proportional to 402,232.43, 603,348.55 and 102,702.26 is: 154,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232.43 : 603,348.55 = 102,702.26 : x
  2. Step 2: Convert to fraction form
    402,232.43/603,348.55 = 102,702.26/x
  3. Step 3: Cross multiply
    402,232.43x = 603,348.55 × 102,702.26
  4. Step 4: Simplify right side
    402,232.43x = 61,965,260,904.34
  5. Step 5: Solve for x
    x = 61,965,260,904.34/402,232.43
  6. Step 6: Final answer
    x = 154,053.37

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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.