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Finding the Fourth Proportional to 476,039.72, 714,062.03 and 160,499.36

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Solution

The fourth proportional to 476,039.72, 714,062.03 and 160,499.36 is: 240,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,039.72 : 714,062.03 = 160,499.36 : x
  2. Step 2: Convert to fraction form
    476,039.72/714,062.03 = 160,499.36/x
  3. Step 3: Cross multiply
    476,039.72x = 714,062.03 × 160,499.36
  4. Step 4: Simplify right side
    476,039.72x = 114,606,498,815.30
  5. Step 5: Solve for x
    x = 114,606,498,815.30/476,039.72
  6. Step 6: Final answer
    x = 240,749.87

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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.