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Finding the Fourth Proportional to 512,637.80, 708,377.82 and 444,435.80

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Solution

The fourth proportional to 512,637.80, 708,377.82 and 444,435.80 is: 614,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,637.80 : 708,377.82 = 444,435.80 : x
  2. Step 2: Convert to fraction form
    512,637.80/708,377.82 = 444,435.80/x
  3. Step 3: Cross multiply
    512,637.80x = 708,377.82 × 444,435.80
  4. Step 4: Simplify right side
    512,637.80x = 314,828,463,133.96
  5. Step 5: Solve for x
    x = 314,828,463,133.96/512,637.80
  6. Step 6: Final answer
    x = 614,134.31

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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.