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Finding the Fourth Proportional to 411,454.14, 567,832.14 and 230,178.26

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Solution

The fourth proportional to 411,454.14, 567,832.14 and 230,178.26 is: 317,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,454.14 : 567,832.14 = 230,178.26 : x
  2. Step 2: Convert to fraction form
    411,454.14/567,832.14 = 230,178.26/x
  3. Step 3: Cross multiply
    411,454.14x = 567,832.14 × 230,178.26
  4. Step 4: Simplify right side
    411,454.14x = 130,702,613,957.28
  5. Step 5: Solve for x
    x = 130,702,613,957.28/411,454.14
  6. Step 6: Final answer
    x = 317,660.22

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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.