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Finding the Fourth Proportional to 446,616.81, 669,548.66 and 193,706.90

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Solution

The fourth proportional to 446,616.81, 669,548.66 and 193,706.90 is: 290,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,616.81 : 669,548.66 = 193,706.90 : x
  2. Step 2: Convert to fraction form
    446,616.81/669,548.66 = 193,706.90/x
  3. Step 3: Cross multiply
    446,616.81x = 669,548.66 × 193,706.90
  4. Step 4: Simplify right side
    446,616.81x = 129,696,191,011.48
  5. Step 5: Solve for x
    x = 129,696,191,011.48/446,616.81
  6. Step 6: Final answer
    x = 290,397.02

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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.