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Finding the Fourth Proportional to 493,670.36, 681,265.10 and 267,315.86

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Solution

The fourth proportional to 493,670.36, 681,265.10 and 267,315.86 is: 368,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,670.36 : 681,265.10 = 267,315.86 : x
  2. Step 2: Convert to fraction form
    493,670.36/681,265.10 = 267,315.86/x
  3. Step 3: Cross multiply
    493,670.36x = 681,265.10 × 267,315.86
  4. Step 4: Simplify right side
    493,670.36x = 182,112,966,094.49
  5. Step 5: Solve for x
    x = 182,112,966,094.49/493,670.36
  6. Step 6: Final answer
    x = 368,895.89

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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.