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Finding the Fourth Proportional to 535,841.83, 806,970.39 and 488,012.14

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Solution

The fourth proportional to 535,841.83, 806,970.39 and 488,012.14 is: 734,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,841.83 : 806,970.39 = 488,012.14 : x
  2. Step 2: Convert to fraction form
    535,841.83/806,970.39 = 488,012.14/x
  3. Step 3: Cross multiply
    535,841.83x = 806,970.39 × 488,012.14
  4. Step 4: Simplify right side
    535,841.83x = 393,811,344,087.33
  5. Step 5: Solve for x
    x = 393,811,344,087.33/535,841.83
  6. Step 6: Final answer
    x = 734,939.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.