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Finding the Fourth Proportional to 413,053.68, 619,564.91 and 113,526.49

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Solution

The fourth proportional to 413,053.68, 619,564.91 and 113,526.49 is: 170,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,053.68 : 619,564.91 = 113,526.49 : x
  2. Step 2: Convert to fraction form
    413,053.68/619,564.91 = 113,526.49/x
  3. Step 3: Cross multiply
    413,053.68x = 619,564.91 × 113,526.49
  4. Step 4: Simplify right side
    413,053.68x = 70,337,027,660.31
  5. Step 5: Solve for x
    x = 70,337,027,660.31/413,053.68
  6. Step 6: Final answer
    x = 170,285.44

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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.