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Finding the Fourth Proportional to 411,416.54, 567,770.36 and 230,127.92

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Solution

The fourth proportional to 411,416.54, 567,770.36 and 230,127.92 is: 317,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.54 : 567,770.36 = 230,127.92 : x
  2. Step 2: Convert to fraction form
    411,416.54/567,770.36 = 230,127.92/x
  3. Step 3: Cross multiply
    411,416.54x = 567,770.36 × 230,127.92
  4. Step 4: Simplify right side
    411,416.54x = 130,659,811,984.45
  5. Step 5: Solve for x
    x = 130,659,811,984.45/411,416.54
  6. Step 6: Final answer
    x = 317,585.22

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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.