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Finding the Fourth Proportional to 298,374.59, 411,765.69 and 162,417.41

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Solution

The fourth proportional to 298,374.59, 411,765.69 and 162,417.41 is: 224,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,374.59 : 411,765.69 = 162,417.41 : x
  2. Step 2: Convert to fraction form
    298,374.59/411,765.69 = 162,417.41/x
  3. Step 3: Cross multiply
    298,374.59x = 411,765.69 × 162,417.41
  4. Step 4: Simplify right side
    298,374.59x = 66,877,916,896.66
  5. Step 5: Solve for x
    x = 66,877,916,896.66/298,374.59
  6. Step 6: Final answer
    x = 224,140.79

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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.