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Finding the Fourth Proportional to 596,015.38, 822,805.98 and 459,743.41

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Solution

The fourth proportional to 596,015.38, 822,805.98 and 459,743.41 is: 634,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,015.38 : 822,805.98 = 459,743.41 : x
  2. Step 2: Convert to fraction form
    596,015.38/822,805.98 = 459,743.41/x
  3. Step 3: Cross multiply
    596,015.38x = 822,805.98 × 459,743.41
  4. Step 4: Simplify right side
    596,015.38x = 378,279,627,013.59
  5. Step 5: Solve for x
    x = 378,279,627,013.59/596,015.38
  6. Step 6: Final answer
    x = 634,680.98

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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.