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Finding the Fourth Proportional to 298,349.21, 411,725.27 and 162,384.02

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Solution

The fourth proportional to 298,349.21, 411,725.27 and 162,384.02 is: 224,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,349.21 : 411,725.27 = 162,384.02 : x
  2. Step 2: Convert to fraction form
    298,349.21/411,725.27 = 162,384.02/x
  3. Step 3: Cross multiply
    298,349.21x = 411,725.27 × 162,384.02
  4. Step 4: Simplify right side
    298,349.21x = 66,857,604,478.19
  5. Step 5: Solve for x
    x = 66,857,604,478.19/298,349.21
  6. Step 6: Final answer
    x = 224,091.78

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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.