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Finding the Fourth Proportional to 476,937.06, 714,960.86 and 161,173.14

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Solution

The fourth proportional to 476,937.06, 714,960.86 and 161,173.14 is: 241,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,937.06 : 714,960.86 = 161,173.14 : x
  2. Step 2: Convert to fraction form
    476,937.06/714,960.86 = 161,173.14/x
  3. Step 3: Cross multiply
    476,937.06x = 714,960.86 × 161,173.14
  4. Step 4: Simplify right side
    476,937.06x = 115,232,486,783.30
  5. Step 5: Solve for x
    x = 115,232,486,783.30/476,937.06
  6. Step 6: Final answer
    x = 241,609.42

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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.