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Finding the Fourth Proportional to 411,478.56, 567,894.96 and 230,260.32

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Solution

The fourth proportional to 411,478.56, 567,894.96 and 230,260.32 is: 317,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,478.56 : 567,894.96 = 230,260.32 : x
  2. Step 2: Convert to fraction form
    411,478.56/567,894.96 = 230,260.32/x
  3. Step 3: Cross multiply
    411,478.56x = 567,894.96 × 230,260.32
  4. Step 4: Simplify right side
    411,478.56x = 130,763,675,215.99
  5. Step 5: Solve for x
    x = 130,763,675,215.99/411,478.56
  6. Step 6: Final answer
    x = 317,789.77

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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.