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Finding the Fourth Proportional to 402,672.58, 604,081.77 and 165,883.66

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Solution

The fourth proportional to 402,672.58, 604,081.77 and 165,883.66 is: 248,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,672.58 : 604,081.77 = 165,883.66 : x
  2. Step 2: Convert to fraction form
    402,672.58/604,081.77 = 165,883.66/x
  3. Step 3: Cross multiply
    402,672.58x = 604,081.77 × 165,883.66
  4. Step 4: Simplify right side
    402,672.58x = 100,207,294,946.88
  5. Step 5: Solve for x
    x = 100,207,294,946.88/402,672.58
  6. Step 6: Final answer
    x = 248,855.52

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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.