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Finding the Fourth Proportional to 407,993.36, 611,366.54 and 171,206.87

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Solution

The fourth proportional to 407,993.36, 611,366.54 and 171,206.87 is: 256,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,993.36 : 611,366.54 = 171,206.87 : x
  2. Step 2: Convert to fraction form
    407,993.36/611,366.54 = 171,206.87/x
  3. Step 3: Cross multiply
    407,993.36x = 611,366.54 × 171,206.87
  4. Step 4: Simplify right side
    407,993.36x = 104,670,147,823.26
  5. Step 5: Solve for x
    x = 104,670,147,823.26/407,993.36
  6. Step 6: Final answer
    x = 256,548.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.