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Finding the Fourth Proportional to 524,416.92, 723,757.54 and 298,096.44

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Solution

The fourth proportional to 524,416.92, 723,757.54 and 298,096.44 is: 411,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,416.92 : 723,757.54 = 298,096.44 : x
  2. Step 2: Convert to fraction form
    524,416.92/723,757.54 = 298,096.44/x
  3. Step 3: Cross multiply
    524,416.92x = 723,757.54 × 298,096.44
  4. Step 4: Simplify right side
    524,416.92x = 215,749,546,097.16
  5. Step 5: Solve for x
    x = 215,749,546,097.16/524,416.92
  6. Step 6: Final answer
    x = 411,408.44

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Double scale
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1.5x scale

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.