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Finding the Fourth Proportional to 699,551.68, 1,049,210.14 and 194,164

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Solution

The fourth proportional to 699,551.68, 1,049,210.14 and 194,164 is: 291,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,551.68 : 1,049,210.14 = 194,164 : x
  2. Step 2: Convert to fraction form
    699,551.68/1,049,210.14 = 194,164/x
  3. Step 3: Cross multiply
    699,551.68x = 1,049,210.14 × 194,164
  4. Step 4: Simplify right side
    699,551.68x = 203,718,837,622.96
  5. Step 5: Solve for x
    x = 203,718,837,622.96/699,551.68
  6. Step 6: Final answer
    x = 291,213.42

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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.