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Finding the Fourth Proportional to 502,355.04, 693,228.96 and 298,424.58

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Solution

The fourth proportional to 502,355.04, 693,228.96 and 298,424.58 is: 411,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,355.04 : 693,228.96 = 298,424.58 : x
  2. Step 2: Convert to fraction form
    502,355.04/693,228.96 = 298,424.58/x
  3. Step 3: Cross multiply
    502,355.04x = 693,228.96 × 298,424.58
  4. Step 4: Simplify right side
    502,355.04x = 206,876,561,231.84
  5. Step 5: Solve for x
    x = 206,876,561,231.84/502,355.04
  6. Step 6: Final answer
    x = 411,813.45

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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.