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Finding the Fourth Proportional to 294,707.85, 406,691.32 and 163,893.53

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Solution

The fourth proportional to 294,707.85, 406,691.32 and 163,893.53 is: 226,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,707.85 : 406,691.32 = 163,893.53 : x
  2. Step 2: Convert to fraction form
    294,707.85/406,691.32 = 163,893.53/x
  3. Step 3: Cross multiply
    294,707.85x = 406,691.32 × 163,893.53
  4. Step 4: Simplify right side
    294,707.85x = 66,654,076,055.16
  5. Step 5: Solve for x
    x = 66,654,076,055.16/294,707.85
  6. Step 6: Final answer
    x = 226,170.01

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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.