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Finding the Fourth Proportional to 476,033.97, 714,053.40 and 160,493.61

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Solution

The fourth proportional to 476,033.97, 714,053.40 and 160,493.61 is: 240,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,033.97 : 714,053.40 = 160,493.61 : x
  2. Step 2: Convert to fraction form
    476,033.97/714,053.40 = 160,493.61/x
  3. Step 3: Cross multiply
    476,033.97x = 714,053.40 × 160,493.61
  4. Step 4: Simplify right side
    476,033.97x = 114,601,007,898.77
  5. Step 5: Solve for x
    x = 114,601,007,898.77/476,033.97
  6. Step 6: Final answer
    x = 240,741.24

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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.