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Finding the Fourth Proportional to 536,541, 803,586.78 and 256,255.08

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Solution

The fourth proportional to 536,541, 803,586.78 and 256,255.08 is: 383,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,541 : 803,586.78 = 256,255.08 : x
  2. Step 2: Convert to fraction form
    536,541/803,586.78 = 256,255.08/x
  3. Step 3: Cross multiply
    536,541x = 803,586.78 × 256,255.08
  4. Step 4: Simplify right side
    536,541x = 205,923,194,595.84
  5. Step 5: Solve for x
    x = 205,923,194,595.84/536,541
  6. Step 6: Final answer
    x = 383,797.69

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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.