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Finding the Fourth Proportional to 298,374.06, 411,764.82 and 162,416.82

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Solution

The fourth proportional to 298,374.06, 411,764.82 and 162,416.82 is: 224,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,374.06 : 411,764.82 = 162,416.82 : x
  2. Step 2: Convert to fraction form
    298,374.06/411,764.82 = 162,416.82/x
  3. Step 3: Cross multiply
    298,374.06x = 411,764.82 × 162,416.82
  4. Step 4: Simplify right side
    298,374.06x = 66,877,532,652.27
  5. Step 5: Solve for x
    x = 66,877,532,652.27/298,374.06
  6. Step 6: Final answer
    x = 224,139.90

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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.