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Finding the Fourth Proportional to 411,816.85, 568,513.62 and 258,939.14

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Solution

The fourth proportional to 411,816.85, 568,513.62 and 258,939.14 is: 357,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,816.85 : 568,513.62 = 258,939.14 : x
  2. Step 2: Convert to fraction form
    411,816.85/568,513.62 = 258,939.14/x
  3. Step 3: Cross multiply
    411,816.85x = 568,513.62 × 258,939.14
  4. Step 4: Simplify right side
    411,816.85x = 147,210,424,998.52
  5. Step 5: Solve for x
    x = 147,210,424,998.52/411,816.85
  6. Step 6: Final answer
    x = 357,465.77

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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.