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Finding the Fourth Proportional to 470,657.52, 706,286.52 and 171,109.35

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Solution

The fourth proportional to 470,657.52, 706,286.52 and 171,109.35 is: 256,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,657.52 : 706,286.52 = 171,109.35 : x
  2. Step 2: Convert to fraction form
    470,657.52/706,286.52 = 171,109.35/x
  3. Step 3: Cross multiply
    470,657.52x = 706,286.52 × 171,109.35
  4. Step 4: Simplify right side
    470,657.52x = 120,852,227,350.96
  5. Step 5: Solve for x
    x = 120,852,227,350.96/470,657.52
  6. Step 6: Final answer
    x = 256,773.18

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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.