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Finding the Fourth Proportional to 412,964.92, 569,288.41 and 291,892.60

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Solution

The fourth proportional to 412,964.92, 569,288.41 and 291,892.60 is: 402,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,964.92 : 569,288.41 = 291,892.60 : x
  2. Step 2: Convert to fraction form
    412,964.92/569,288.41 = 291,892.60/x
  3. Step 3: Cross multiply
    412,964.92x = 569,288.41 × 291,892.60
  4. Step 4: Simplify right side
    412,964.92x = 166,171,074,144.77
  5. Step 5: Solve for x
    x = 166,171,074,144.77/412,964.92
  6. Step 6: Final answer
    x = 402,385.45

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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.