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Finding the Fourth Proportional to 460,558.80, 690,838.20 and 194,248.62

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Solution

The fourth proportional to 460,558.80, 690,838.20 and 194,248.62 is: 291,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,558.80 : 690,838.20 = 194,248.62 : x
  2. Step 2: Convert to fraction form
    460,558.80/690,838.20 = 194,248.62/x
  3. Step 3: Cross multiply
    460,558.80x = 690,838.20 × 194,248.62
  4. Step 4: Simplify right side
    460,558.80x = 134,194,366,993.28
  5. Step 5: Solve for x
    x = 134,194,366,993.28/460,558.80
  6. Step 6: Final answer
    x = 291,372.93

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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.