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Finding the Fourth Proportional to 524,930.40, 786,211.60 and 243,856.16

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Solution

The fourth proportional to 524,930.40, 786,211.60 and 243,856.16 is: 365,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,930.40 : 786,211.60 = 243,856.16 : x
  2. Step 2: Convert to fraction form
    524,930.40/786,211.60 = 243,856.16/x
  3. Step 3: Cross multiply
    524,930.40x = 786,211.60 × 243,856.16
  4. Step 4: Simplify right side
    524,930.40x = 191,722,541,723.46
  5. Step 5: Solve for x
    x = 191,722,541,723.46/524,930.40
  6. Step 6: Final answer
    x = 365,234.21

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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.