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Finding the Fourth Proportional to 294,713.25, 406,704.31 and 160,577.25

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Solution

The fourth proportional to 294,713.25, 406,704.31 and 160,577.25 is: 221,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,713.25 : 406,704.31 = 160,577.25 : x
  2. Step 2: Convert to fraction form
    294,713.25/406,704.31 = 160,577.25/x
  3. Step 3: Cross multiply
    294,713.25x = 406,704.31 × 160,577.25
  4. Step 4: Simplify right side
    294,713.25x = 65,307,459,261.50
  5. Step 5: Solve for x
    x = 65,307,459,261.50/294,713.25
  6. Step 6: Final answer
    x = 221,596.62

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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.