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Finding the Fourth Proportional to 410,123.13, 566,021.04 and 238,004.14

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Solution

The fourth proportional to 410,123.13, 566,021.04 and 238,004.14 is: 328,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,123.13 : 566,021.04 = 238,004.14 : x
  2. Step 2: Convert to fraction form
    410,123.13/566,021.04 = 238,004.14/x
  3. Step 3: Cross multiply
    410,123.13x = 566,021.04 × 238,004.14
  4. Step 4: Simplify right side
    410,123.13x = 134,715,350,847.11
  5. Step 5: Solve for x
    x = 134,715,350,847.11/410,123.13
  6. Step 6: Final answer
    x = 328,475.38

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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.