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Finding the Fourth Proportional to 288,974.58, 433,462.47 and 155,917.50

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Solution

The fourth proportional to 288,974.58, 433,462.47 and 155,917.50 is: 233,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.58 : 433,462.47 = 155,917.50 : x
  2. Step 2: Convert to fraction form
    288,974.58/433,462.47 = 155,917.50/x
  3. Step 3: Cross multiply
    288,974.58x = 433,462.47 × 155,917.50
  4. Step 4: Simplify right side
    288,974.58x = 67,584,384,666.23
  5. Step 5: Solve for x
    x = 67,584,384,666.23/288,974.58
  6. Step 6: Final answer
    x = 233,876.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.