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Finding the Fourth Proportional to 477,044.48, 715,599.84 and 161,394.68

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Solution

The fourth proportional to 477,044.48, 715,599.84 and 161,394.68 is: 242,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,044.48 : 715,599.84 = 161,394.68 : x
  2. Step 2: Convert to fraction form
    477,044.48/715,599.84 = 161,394.68/x
  3. Step 3: Cross multiply
    477,044.48x = 715,599.84 × 161,394.68
  4. Step 4: Simplify right side
    477,044.48x = 115,494,007,184.85
  5. Step 5: Solve for x
    x = 115,494,007,184.85/477,044.48
  6. Step 6: Final answer
    x = 242,103.23

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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.