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Finding the Fourth Proportional to 684,866.79, 945,496.24 and 413,003.54

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Solution

The fourth proportional to 684,866.79, 945,496.24 and 413,003.54 is: 570,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,866.79 : 945,496.24 = 413,003.54 : x
  2. Step 2: Convert to fraction form
    684,866.79/945,496.24 = 413,003.54/x
  3. Step 3: Cross multiply
    684,866.79x = 945,496.24 × 413,003.54
  4. Step 4: Simplify right side
    684,866.79x = 390,493,295,507.92
  5. Step 5: Solve for x
    x = 390,493,295,507.92/684,866.79
  6. Step 6: Final answer
    x = 570,174.09

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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.