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Finding the Fourth Proportional to 389,205.93, 583,887.67 and 164,566

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Solution

The fourth proportional to 389,205.93, 583,887.67 and 164,566 is: 246,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,205.93 : 583,887.67 = 164,566 : x
  2. Step 2: Convert to fraction form
    389,205.93/583,887.67 = 164,566/x
  3. Step 3: Cross multiply
    389,205.93x = 583,887.67 × 164,566
  4. Step 4: Simplify right side
    389,205.93x = 96,088,058,301.22
  5. Step 5: Solve for x
    x = 96,088,058,301.22/389,205.93
  6. Step 6: Final answer
    x = 246,882.31

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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.