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Finding the Fourth Proportional to 413,885.81, 571,164.54 and 241,813.56

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Solution

The fourth proportional to 413,885.81, 571,164.54 and 241,813.56 is: 333,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,885.81 : 571,164.54 = 241,813.56 : x
  2. Step 2: Convert to fraction form
    413,885.81/571,164.54 = 241,813.56/x
  3. Step 3: Cross multiply
    413,885.81x = 571,164.54 × 241,813.56
  4. Step 4: Simplify right side
    413,885.81x = 138,115,330,763.16
  5. Step 5: Solve for x
    x = 138,115,330,763.16/413,885.81
  6. Step 6: Final answer
    x = 333,703.95

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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.