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Finding the Fourth Proportional to 463,667.79, 695,548.88 and 160,022.43

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Solution

The fourth proportional to 463,667.79, 695,548.88 and 160,022.43 is: 240,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,667.79 : 695,548.88 = 160,022.43 : x
  2. Step 2: Convert to fraction form
    463,667.79/695,548.88 = 160,022.43/x
  3. Step 3: Cross multiply
    463,667.79x = 695,548.88 × 160,022.43
  4. Step 4: Simplify right side
    463,667.79x = 111,303,421,961.38
  5. Step 5: Solve for x
    x = 111,303,421,961.38/463,667.79
  6. Step 6: Final answer
    x = 240,049.93

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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.