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Finding the Fourth Proportional to 1,242,361, 1,863,582.96 and 343,727.56

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Solution

The fourth proportional to 1,242,361, 1,863,582.96 and 343,727.56 is: 515,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,361 : 1,863,582.96 = 343,727.56 : x
  2. Step 2: Convert to fraction form
    1,242,361/1,863,582.96 = 343,727.56/x
  3. Step 3: Cross multiply
    1,242,361x = 1,863,582.96 × 343,727.56
  4. Step 4: Simplify right side
    1,242,361x = 640,564,823,698.38
  5. Step 5: Solve for x
    x = 640,564,823,698.38/1,242,361
  6. Step 6: Final answer
    x = 515,602.81

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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.