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Finding the Fourth Proportional to 294,690.42, 406,706.48 and 163,881.12

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Solution

The fourth proportional to 294,690.42, 406,706.48 and 163,881.12 is: 226,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,690.42 : 406,706.48 = 163,881.12 : x
  2. Step 2: Convert to fraction form
    294,690.42/406,706.48 = 163,881.12/x
  3. Step 3: Cross multiply
    294,690.42x = 406,706.48 × 163,881.12
  4. Step 4: Simplify right side
    294,690.42x = 66,651,513,453.66
  5. Step 5: Solve for x
    x = 66,651,513,453.66/294,690.42
  6. Step 6: Final answer
    x = 226,174.69

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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.