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Finding the Fourth Proportional to 361,996.46, 497,783.65 and 314,166.77

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Solution

The fourth proportional to 361,996.46, 497,783.65 and 314,166.77 is: 432,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,996.46 : 497,783.65 = 314,166.77 : x
  2. Step 2: Convert to fraction form
    361,996.46/497,783.65 = 314,166.77/x
  3. Step 3: Cross multiply
    361,996.46x = 497,783.65 × 314,166.77
  4. Step 4: Simplify right side
    361,996.46x = 156,387,079,908.48
  5. Step 5: Solve for x
    x = 156,387,079,908.48/361,996.46
  6. Step 6: Final answer
    x = 432,012.73

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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.