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Finding the Fourth Proportional to 561,108.52, 841,661.34 and 462,215.08

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Solution

The fourth proportional to 561,108.52, 841,661.34 and 462,215.08 is: 693,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,108.52 : 841,661.34 = 462,215.08 : x
  2. Step 2: Convert to fraction form
    561,108.52/841,661.34 = 462,215.08/x
  3. Step 3: Cross multiply
    561,108.52x = 841,661.34 × 462,215.08
  4. Step 4: Simplify right side
    561,108.52x = 389,028,563,601.01
  5. Step 5: Solve for x
    x = 389,028,563,601.01/561,108.52
  6. Step 6: Final answer
    x = 693,321.43

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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.