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Finding the Fourth Proportional to 319,046.74, 478,678.95 and 200,579.38

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Solution

The fourth proportional to 319,046.74, 478,678.95 and 200,579.38 is: 300,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046.74 : 478,678.95 = 200,579.38 : x
  2. Step 2: Convert to fraction form
    319,046.74/478,678.95 = 200,579.38/x
  3. Step 3: Cross multiply
    319,046.74x = 478,678.95 × 200,579.38
  4. Step 4: Simplify right side
    319,046.74x = 96,013,127,010.05
  5. Step 5: Solve for x
    x = 96,013,127,010.05/319,046.74
  6. Step 6: Final answer
    x = 300,937.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.