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Finding the Fourth Proportional to 291,803.67, 402,692.13 and 164,479.26

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Solution

The fourth proportional to 291,803.67, 402,692.13 and 164,479.26 is: 226,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,803.67 : 402,692.13 = 164,479.26 : x
  2. Step 2: Convert to fraction form
    291,803.67/402,692.13 = 164,479.26/x
  3. Step 3: Cross multiply
    291,803.67x = 402,692.13 × 164,479.26
  4. Step 4: Simplify right side
    291,803.67x = 66,234,503,550.22
  5. Step 5: Solve for x
    x = 66,234,503,550.22/291,803.67
  6. Step 6: Final answer
    x = 226,983.11

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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.