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Finding the Fourth Proportional to 413,266.68, 619,308.54 and 235,406.34

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Solution

The fourth proportional to 413,266.68, 619,308.54 and 235,406.34 is: 352,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,266.68 : 619,308.54 = 235,406.34 : x
  2. Step 2: Convert to fraction form
    413,266.68/619,308.54 = 235,406.34/x
  3. Step 3: Cross multiply
    413,266.68x = 619,308.54 × 235,406.34
  4. Step 4: Simplify right side
    413,266.68x = 145,789,156,732.14
  5. Step 5: Solve for x
    x = 145,789,156,732.14/413,266.68
  6. Step 6: Final answer
    x = 352,772.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.