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Finding the Fourth Proportional to 502,356.04, 693,230.34 and 298,425.58

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Solution

The fourth proportional to 502,356.04, 693,230.34 and 298,425.58 is: 411,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,356.04 : 693,230.34 = 298,425.58 : x
  2. Step 2: Convert to fraction form
    502,356.04/693,230.34 = 298,425.58/x
  3. Step 3: Cross multiply
    502,356.04x = 693,230.34 × 298,425.58
  4. Step 4: Simplify right side
    502,356.04x = 206,877,666,288.10
  5. Step 5: Solve for x
    x = 206,877,666,288.10/502,356.04
  6. Step 6: Final answer
    x = 411,814.83

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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.