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Finding the Fourth Proportional to 302,810.11, 417,878.34 and 164,988.38

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Solution

The fourth proportional to 302,810.11, 417,878.34 and 164,988.38 is: 227,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810.11 : 417,878.34 = 164,988.38 : x
  2. Step 2: Convert to fraction form
    302,810.11/417,878.34 = 164,988.38/x
  3. Step 3: Cross multiply
    302,810.11x = 417,878.34 × 164,988.38
  4. Step 4: Simplify right side
    302,810.11x = 68,945,070,353.69
  5. Step 5: Solve for x
    x = 68,945,070,353.69/302,810.11
  6. Step 6: Final answer
    x = 227,684.18

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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.