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Finding the Fourth Proportional to 476,545.80, 714,624.30 and 160,840.20

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Solution

The fourth proportional to 476,545.80, 714,624.30 and 160,840.20 is: 241,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,545.80 : 714,624.30 = 160,840.20 : x
  2. Step 2: Convert to fraction form
    476,545.80/714,624.30 = 160,840.20/x
  3. Step 3: Cross multiply
    476,545.80x = 714,624.30 × 160,840.20
  4. Step 4: Simplify right side
    476,545.80x = 114,940,315,336.86
  5. Step 5: Solve for x
    x = 114,940,315,336.86/476,545.80
  6. Step 6: Final answer
    x = 241,194.69

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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.