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Finding the Fourth Proportional to 384,856.95, 531,091.17 and 215,090.67

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Solution

The fourth proportional to 384,856.95, 531,091.17 and 215,090.67 is: 296,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,856.95 : 531,091.17 = 215,090.67 : x
  2. Step 2: Convert to fraction form
    384,856.95/531,091.17 = 215,090.67/x
  3. Step 3: Cross multiply
    384,856.95x = 531,091.17 × 215,090.67
  4. Step 4: Simplify right side
    384,856.95x = 114,232,755,586.38
  5. Step 5: Solve for x
    x = 114,232,755,586.38/384,856.95
  6. Step 6: Final answer
    x = 296,818.74

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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.