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Finding the Fourth Proportional to 298,349.76, 411,722.66 and 164,213.76

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Solution

The fourth proportional to 298,349.76, 411,722.66 and 164,213.76 is: 226,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,349.76 : 411,722.66 = 164,213.76 : x
  2. Step 2: Convert to fraction form
    298,349.76/411,722.66 = 164,213.76/x
  3. Step 3: Cross multiply
    298,349.76x = 411,722.66 × 164,213.76
  4. Step 4: Simplify right side
    298,349.76x = 67,610,526,075.80
  5. Step 5: Solve for x
    x = 67,610,526,075.80/298,349.76
  6. Step 6: Final answer
    x = 226,614.98

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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.