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Finding the Fourth Proportional to 436,086.20, 654,129.30 and 341,607.80

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Solution

The fourth proportional to 436,086.20, 654,129.30 and 341,607.80 is: 512,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,086.20 : 654,129.30 = 341,607.80 : x
  2. Step 2: Convert to fraction form
    436,086.20/654,129.30 = 341,607.80/x
  3. Step 3: Cross multiply
    436,086.20x = 654,129.30 × 341,607.80
  4. Step 4: Simplify right side
    436,086.20x = 223,455,671,088.54
  5. Step 5: Solve for x
    x = 223,455,671,088.54/436,086.20
  6. Step 6: Final answer
    x = 512,411.70

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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.