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Finding the Fourth Proportional to 432,904.70, 649,357.05 and 196,708.70

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Solution

The fourth proportional to 432,904.70, 649,357.05 and 196,708.70 is: 295,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,904.70 : 649,357.05 = 196,708.70 : x
  2. Step 2: Convert to fraction form
    432,904.70/649,357.05 = 196,708.70/x
  3. Step 3: Cross multiply
    432,904.70x = 649,357.05 × 196,708.70
  4. Step 4: Simplify right side
    432,904.70x = 127,734,181,141.34
  5. Step 5: Solve for x
    x = 127,734,181,141.34/432,904.70
  6. Step 6: Final answer
    x = 295,063.05

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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.