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Finding the Fourth Proportional to 301,403.76, 415,934.04 and 167,268.72

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Solution

The fourth proportional to 301,403.76, 415,934.04 and 167,268.72 is: 230,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,403.76 : 415,934.04 = 167,268.72 : x
  2. Step 2: Convert to fraction form
    301,403.76/415,934.04 = 167,268.72/x
  3. Step 3: Cross multiply
    301,403.76x = 415,934.04 × 167,268.72
  4. Step 4: Simplify right side
    301,403.76x = 69,572,754,475.23
  5. Step 5: Solve for x
    x = 69,572,754,475.23/301,403.76
  6. Step 6: Final answer
    x = 230,829.09

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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.