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Finding the Fourth Proportional to 433,210.71, 649,422.39 and 196,424.22

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Solution

The fourth proportional to 433,210.71, 649,422.39 and 196,424.22 is: 294,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,210.71 : 649,422.39 = 196,424.22 : x
  2. Step 2: Convert to fraction form
    433,210.71/649,422.39 = 196,424.22/x
  3. Step 3: Cross multiply
    433,210.71x = 649,422.39 × 196,424.22
  4. Step 4: Simplify right side
    433,210.71x = 127,562,286,406.29
  5. Step 5: Solve for x
    x = 127,562,286,406.29/433,210.71
  6. Step 6: Final answer
    x = 294,457.83

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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.