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Finding the Fourth Proportional to 294,433.88, 406,318.77 and 160,297.88

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Solution

The fourth proportional to 294,433.88, 406,318.77 and 160,297.88 is: 221,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,433.88 : 406,318.77 = 160,297.88 : x
  2. Step 2: Convert to fraction form
    294,433.88/406,318.77 = 160,297.88/x
  3. Step 3: Cross multiply
    294,433.88x = 406,318.77 × 160,297.88
  4. Step 4: Simplify right side
    294,433.88x = 65,132,035,403.61
  5. Step 5: Solve for x
    x = 65,132,035,403.61/294,433.88
  6. Step 6: Final answer
    x = 221,211.08

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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.