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Finding the Fourth Proportional to 298,386.75, 411,773.72 and 164,250.75

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Solution

The fourth proportional to 298,386.75, 411,773.72 and 164,250.75 is: 226,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,386.75 : 411,773.72 = 164,250.75 : x
  2. Step 2: Convert to fraction form
    298,386.75/411,773.72 = 164,250.75/x
  3. Step 3: Cross multiply
    298,386.75x = 411,773.72 × 164,250.75
  4. Step 4: Simplify right side
    298,386.75x = 67,634,141,519.04
  5. Step 5: Solve for x
    x = 67,634,141,519.04/298,386.75
  6. Step 6: Final answer
    x = 226,666.04

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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.