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Finding the Fourth Proportional to 291,376.74, 436,321.32 and 232,298.58

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Solution

The fourth proportional to 291,376.74, 436,321.32 and 232,298.58 is: 347,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,376.74 : 436,321.32 = 232,298.58 : x
  2. Step 2: Convert to fraction form
    291,376.74/436,321.32 = 232,298.58/x
  3. Step 3: Cross multiply
    291,376.74x = 436,321.32 × 232,298.58
  4. Step 4: Simplify right side
    291,376.74x = 101,356,823,059.73
  5. Step 5: Solve for x
    x = 101,356,823,059.73/291,376.74
  6. Step 6: Final answer
    x = 347,854.89

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Why These Related Problems?

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