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Finding the Fourth Proportional to 460,667, 691,096.08 and 194,429.72

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Solution

The fourth proportional to 460,667, 691,096.08 and 194,429.72 is: 291,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,667 : 691,096.08 = 194,429.72 : x
  2. Step 2: Convert to fraction form
    460,667/691,096.08 = 194,429.72/x
  3. Step 3: Cross multiply
    460,667x = 691,096.08 × 194,429.72
  4. Step 4: Simplify right side
    460,667x = 134,369,617,327.50
  5. Step 5: Solve for x
    x = 134,369,617,327.50/460,667
  6. Step 6: Final answer
    x = 291,684.92

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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.