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Finding the Fourth Proportional to 295,043.30, 407,089.77 and 167,708.87

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Solution

The fourth proportional to 295,043.30, 407,089.77 and 167,708.87 is: 231,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,043.30 : 407,089.77 = 167,708.87 : x
  2. Step 2: Convert to fraction form
    295,043.30/407,089.77 = 167,708.87/x
  3. Step 3: Cross multiply
    295,043.30x = 407,089.77 × 167,708.87
  4. Step 4: Simplify right side
    295,043.30x = 68,272,565,315.26
  5. Step 5: Solve for x
    x = 68,272,565,315.26/295,043.30
  6. Step 6: Final answer
    x = 231,398.46

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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.