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Finding the Fourth Proportional to 436,206.81, 654,310.45 and 136,710.71

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Solution

The fourth proportional to 436,206.81, 654,310.45 and 136,710.71 is: 205,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,206.81 : 654,310.45 = 136,710.71 : x
  2. Step 2: Convert to fraction form
    436,206.81/654,310.45 = 136,710.71/x
  3. Step 3: Cross multiply
    436,206.81x = 654,310.45 × 136,710.71
  4. Step 4: Simplify right side
    436,206.81x = 89,451,248,444.42
  5. Step 5: Solve for x
    x = 89,451,248,444.42/436,206.81
  6. Step 6: Final answer
    x = 205,066.14

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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.