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Finding the Fourth Proportional to 524,081.52, 786,114.96 and 298,961.52

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Solution

The fourth proportional to 524,081.52, 786,114.96 and 298,961.52 is: 448,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,081.52 : 786,114.96 = 298,961.52 : x
  2. Step 2: Convert to fraction form
    524,081.52/786,114.96 = 298,961.52/x
  3. Step 3: Cross multiply
    524,081.52x = 786,114.96 × 298,961.52
  4. Step 4: Simplify right side
    524,081.52x = 235,018,123,336.34
  5. Step 5: Solve for x
    x = 235,018,123,336.34/524,081.52
  6. Step 6: Final answer
    x = 448,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.