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Finding the Fourth Proportional to 470,710.20, 706,065.30 and 171,200.55

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Solution

The fourth proportional to 470,710.20, 706,065.30 and 171,200.55 is: 256,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.20 : 706,065.30 = 171,200.55 : x
  2. Step 2: Convert to fraction form
    470,710.20/706,065.30 = 171,200.55/x
  3. Step 3: Cross multiply
    470,710.20x = 706,065.30 × 171,200.55
  4. Step 4: Simplify right side
    470,710.20x = 120,878,767,695.92
  5. Step 5: Solve for x
    x = 120,878,767,695.92/470,710.20
  6. Step 6: Final answer
    x = 256,800.83

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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.