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Finding the Fourth Proportional to 294,240.50, 406,058.37 and 160,104.50

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Solution

The fourth proportional to 294,240.50, 406,058.37 and 160,104.50 is: 220,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,240.50 : 406,058.37 = 160,104.50 : x
  2. Step 2: Convert to fraction form
    294,240.50/406,058.37 = 160,104.50/x
  3. Step 3: Cross multiply
    294,240.50x = 406,058.37 × 160,104.50
  4. Step 4: Simplify right side
    294,240.50x = 65,011,772,299.67
  5. Step 5: Solve for x
    x = 65,011,772,299.67/294,240.50
  6. Step 6: Final answer
    x = 220,947.74

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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.