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Finding the Fourth Proportional to 411,527.06, 568,101.51 and 309,591.43

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Solution

The fourth proportional to 411,527.06, 568,101.51 and 309,591.43 is: 427,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.06 : 568,101.51 = 309,591.43 : x
  2. Step 2: Convert to fraction form
    411,527.06/568,101.51 = 309,591.43/x
  3. Step 3: Cross multiply
    411,527.06x = 568,101.51 × 309,591.43
  4. Step 4: Simplify right side
    411,527.06x = 175,879,358,866.06
  5. Step 5: Solve for x
    x = 175,879,358,866.06/411,527.06
  6. Step 6: Final answer
    x = 427,382.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.