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Finding the Fourth Proportional to 294,559.86, 406,478.13 and 167,218.74

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Solution

The fourth proportional to 294,559.86, 406,478.13 and 167,218.74 is: 230,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.86 : 406,478.13 = 167,218.74 : x
  2. Step 2: Convert to fraction form
    294,559.86/406,478.13 = 167,218.74/x
  3. Step 3: Cross multiply
    294,559.86x = 406,478.13 × 167,218.74
  4. Step 4: Simplify right side
    294,559.86x = 67,970,760,736.16
  5. Step 5: Solve for x
    x = 67,970,760,736.16/294,559.86
  6. Step 6: Final answer
    x = 230,753.64

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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.