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Finding the Fourth Proportional to 524,094.28, 723,269.46 and 297,778.12

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Solution

The fourth proportional to 524,094.28, 723,269.46 and 297,778.12 is: 410,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,094.28 : 723,269.46 = 297,778.12 : x
  2. Step 2: Convert to fraction form
    524,094.28/723,269.46 = 297,778.12/x
  3. Step 3: Cross multiply
    524,094.28x = 723,269.46 × 297,778.12
  4. Step 4: Simplify right side
    524,094.28x = 215,373,820,052.22
  5. Step 5: Solve for x
    x = 215,373,820,052.22/524,094.28
  6. Step 6: Final answer
    x = 410,944.80

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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.