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Finding the Fourth Proportional to 301,428, 415,990.08 and 167,292

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Solution

The fourth proportional to 301,428, 415,990.08 and 167,292 is: 230,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,428 : 415,990.08 = 167,292 : x
  2. Step 2: Convert to fraction form
    301,428/415,990.08 = 167,292/x
  3. Step 3: Cross multiply
    301,428x = 415,990.08 × 167,292
  4. Step 4: Simplify right side
    301,428x = 69,591,812,463.36
  5. Step 5: Solve for x
    x = 69,591,812,463.36/301,428
  6. Step 6: Final answer
    x = 230,873.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.