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Finding the Fourth Proportional to 349,744.60, 524,876.10 and 256,432.60

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Solution

The fourth proportional to 349,744.60, 524,876.10 and 256,432.60 is: 384,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,744.60 : 524,876.10 = 256,432.60 : x
  2. Step 2: Convert to fraction form
    349,744.60/524,876.10 = 256,432.60/x
  3. Step 3: Cross multiply
    349,744.60x = 524,876.10 × 256,432.60
  4. Step 4: Simplify right side
    349,744.60x = 134,595,343,000.86
  5. Step 5: Solve for x
    x = 134,595,343,000.86/349,744.60
  6. Step 6: Final answer
    x = 384,838.95

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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.