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Finding the Fourth Proportional to 512,998, 707,924.04 and 286,645.36

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Solution

The fourth proportional to 512,998, 707,924.04 and 286,645.36 is: 395,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998 : 707,924.04 = 286,645.36 : x
  2. Step 2: Convert to fraction form
    512,998/707,924.04 = 286,645.36/x
  3. Step 3: Cross multiply
    512,998x = 707,924.04 × 286,645.36
  4. Step 4: Simplify right side
    512,998x = 202,923,141,298.45
  5. Step 5: Solve for x
    x = 202,923,141,298.45/512,998
  6. Step 6: Final answer
    x = 395,563.22

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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.