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Finding the Fourth Proportional to 298,373.59, 411,764.31 and 162,416.41

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Solution

The fourth proportional to 298,373.59, 411,764.31 and 162,416.41 is: 224,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,373.59 : 411,764.31 = 162,416.41 : x
  2. Step 2: Convert to fraction form
    298,373.59/411,764.31 = 162,416.41/x
  3. Step 3: Cross multiply
    298,373.59x = 411,764.31 × 162,416.41
  4. Step 4: Simplify right side
    298,373.59x = 66,877,278,125.42
  5. Step 5: Solve for x
    x = 66,877,278,125.42/298,373.59
  6. Step 6: Final answer
    x = 224,139.40

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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.