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Finding the Fourth Proportional to 502,712.94, 694,448.82 and 457,310.82

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Solution

The fourth proportional to 502,712.94, 694,448.82 and 457,310.82 is: 631,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,712.94 : 694,448.82 = 457,310.82 : x
  2. Step 2: Convert to fraction form
    502,712.94/694,448.82 = 457,310.82/x
  3. Step 3: Cross multiply
    502,712.94x = 694,448.82 × 457,310.82
  4. Step 4: Simplify right side
    502,712.94x = 317,578,959,322.23
  5. Step 5: Solve for x
    x = 317,578,959,322.23/502,712.94
  6. Step 6: Final answer
    x = 631,730.23

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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.