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Finding the Fourth Proportional to 561,636.38, 774,967.70 and 319,923.68

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Solution

The fourth proportional to 561,636.38, 774,967.70 and 319,923.68 is: 441,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,636.38 : 774,967.70 = 319,923.68 : x
  2. Step 2: Convert to fraction form
    561,636.38/774,967.70 = 319,923.68/x
  3. Step 3: Cross multiply
    561,636.38x = 774,967.70 × 319,923.68
  4. Step 4: Simplify right side
    561,636.38x = 247,930,515,390.11
  5. Step 5: Solve for x
    x = 247,930,515,390.11/561,636.38
  6. Step 6: Final answer
    x = 441,443.12

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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.