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Finding the Fourth Proportional to 476,037.97, 714,059.40 and 160,497.61

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Solution

The fourth proportional to 476,037.97, 714,059.40 and 160,497.61 is: 240,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,037.97 : 714,059.40 = 160,497.61 : x
  2. Step 2: Convert to fraction form
    476,037.97/714,059.40 = 160,497.61/x
  3. Step 3: Cross multiply
    476,037.97x = 714,059.40 × 160,497.61
  4. Step 4: Simplify right side
    476,037.97x = 114,604,827,098.03
  5. Step 5: Solve for x
    x = 114,604,827,098.03/476,037.97
  6. Step 6: Final answer
    x = 240,747.24

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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.