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Finding the Fourth Proportional to 411,513.65, 567,910.90 and 230,214.77

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Solution

The fourth proportional to 411,513.65, 567,910.90 and 230,214.77 is: 317,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,513.65 : 567,910.90 = 230,214.77 : x
  2. Step 2: Convert to fraction form
    411,513.65/567,910.90 = 230,214.77/x
  3. Step 3: Cross multiply
    411,513.65x = 567,910.90 × 230,214.77
  4. Step 4: Simplify right side
    411,513.65x = 130,741,477,223.99
  5. Step 5: Solve for x
    x = 130,741,477,223.99/411,513.65
  6. Step 6: Final answer
    x = 317,708.73

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1.5x scale

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.