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Finding the Fourth Proportional to 436,770.64, 655,264.74 and 347,151.46

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Solution

The fourth proportional to 436,770.64, 655,264.74 and 347,151.46 is: 520,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,770.64 : 655,264.74 = 347,151.46 : x
  2. Step 2: Convert to fraction form
    436,770.64/655,264.74 = 347,151.46/x
  3. Step 3: Cross multiply
    436,770.64x = 655,264.74 × 347,151.46
  4. Step 4: Simplify right side
    436,770.64x = 227,476,111,177.52
  5. Step 5: Solve for x
    x = 227,476,111,177.52/436,770.64
  6. Step 6: Final answer
    x = 520,813.65

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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.