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Finding the Fourth Proportional to 476,029.85, 714,047.20 and 160,489.49

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Solution

The fourth proportional to 476,029.85, 714,047.20 and 160,489.49 is: 240,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,029.85 : 714,047.20 = 160,489.49 : x
  2. Step 2: Convert to fraction form
    476,029.85/714,047.20 = 160,489.49/x
  3. Step 3: Cross multiply
    476,029.85x = 714,047.20 × 160,489.49
  4. Step 4: Simplify right side
    476,029.85x = 114,597,066,992.47
  5. Step 5: Solve for x
    x = 114,597,066,992.47/476,029.85
  6. Step 6: Final answer
    x = 240,735.05

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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.