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Finding the Fourth Proportional to 349,734.60, 524,861.10 and 256,422.60

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Solution

The fourth proportional to 349,734.60, 524,861.10 and 256,422.60 is: 384,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,734.60 : 524,861.10 = 256,422.60 : x
  2. Step 2: Convert to fraction form
    349,734.60/524,861.10 = 256,422.60/x
  3. Step 3: Cross multiply
    349,734.60x = 524,861.10 × 256,422.60
  4. Step 4: Simplify right side
    349,734.60x = 134,586,247,900.86
  5. Step 5: Solve for x
    x = 134,586,247,900.86/349,734.60
  6. Step 6: Final answer
    x = 384,823.94

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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.