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Finding the Fourth Proportional to 294,625.50, 406,583.20 and 160,489.50

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Solution

The fourth proportional to 294,625.50, 406,583.20 and 160,489.50 is: 221,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,625.50 : 406,583.20 = 160,489.50 : x
  2. Step 2: Convert to fraction form
    294,625.50/406,583.20 = 160,489.50/x
  3. Step 3: Cross multiply
    294,625.50x = 406,583.20 × 160,489.50
  4. Step 4: Simplify right side
    294,625.50x = 65,252,334,476.40
  5. Step 5: Solve for x
    x = 65,252,334,476.40/294,625.50
  6. Step 6: Final answer
    x = 221,475.52

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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.