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Finding the Fourth Proportional to 319,692.87, 441,144.73 and 176,443.68

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Solution

The fourth proportional to 319,692.87, 441,144.73 and 176,443.68 is: 243,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,692.87 : 441,144.73 = 176,443.68 : x
  2. Step 2: Convert to fraction form
    319,692.87/441,144.73 = 176,443.68/x
  3. Step 3: Cross multiply
    319,692.87x = 441,144.73 × 176,443.68
  4. Step 4: Simplify right side
    319,692.87x = 77,837,199,573.81
  5. Step 5: Solve for x
    x = 77,837,199,573.81/319,692.87
  6. Step 6: Final answer
    x = 243,474.93

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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.