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Finding the Fourth Proportional to 436,268.98, 654,411.78 and 136,742.98

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Solution

The fourth proportional to 436,268.98, 654,411.78 and 136,742.98 is: 205,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,268.98 : 654,411.78 = 136,742.98 : x
  2. Step 2: Convert to fraction form
    436,268.98/654,411.78 = 136,742.98/x
  3. Step 3: Cross multiply
    436,268.98x = 654,411.78 × 136,742.98
  4. Step 4: Simplify right side
    436,268.98x = 89,486,216,944.30
  5. Step 5: Solve for x
    x = 89,486,216,944.30/436,268.98
  6. Step 6: Final answer
    x = 205,117.07

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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.