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Finding the Fourth Proportional to 476,036.97, 714,057.90 and 160,496.61

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Solution

The fourth proportional to 476,036.97, 714,057.90 and 160,496.61 is: 240,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,036.97 : 714,057.90 = 160,496.61 : x
  2. Step 2: Convert to fraction form
    476,036.97/714,057.90 = 160,496.61/x
  3. Step 3: Cross multiply
    476,036.97x = 714,057.90 × 160,496.61
  4. Step 4: Simplify right side
    476,036.97x = 114,603,872,293.72
  5. Step 5: Solve for x
    x = 114,603,872,293.72/476,036.97
  6. Step 6: Final answer
    x = 240,745.74

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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.