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Finding the Fourth Proportional to 493,957.49, 681,657.05 and 267,602.45

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Solution

The fourth proportional to 493,957.49, 681,657.05 and 267,602.45 is: 369,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,957.49 : 681,657.05 = 267,602.45 : x
  2. Step 2: Convert to fraction form
    493,957.49/681,657.05 = 267,602.45/x
  3. Step 3: Cross multiply
    493,957.49x = 681,657.05 × 267,602.45
  4. Step 4: Simplify right side
    493,957.49x = 182,413,093,900.49
  5. Step 5: Solve for x
    x = 182,413,093,900.49/493,957.49
  6. Step 6: Final answer
    x = 369,289.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.