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Finding the Fourth Proportional to 413,938.13, 571,235.15 and 235,090.13

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Solution

The fourth proportional to 413,938.13, 571,235.15 and 235,090.13 is: 324,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,938.13 : 571,235.15 = 235,090.13 : x
  2. Step 2: Convert to fraction form
    413,938.13/571,235.15 = 235,090.13/x
  3. Step 3: Cross multiply
    413,938.13x = 571,235.15 × 235,090.13
  4. Step 4: Simplify right side
    413,938.13x = 134,291,743,405.62
  5. Step 5: Solve for x
    x = 134,291,743,405.62/413,938.13
  6. Step 6: Final answer
    x = 324,424.68

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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.