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Finding the Fourth Proportional to 470,839.80, 706,259.70 and 171,658.20

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Solution

The fourth proportional to 470,839.80, 706,259.70 and 171,658.20 is: 257,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.80 : 706,259.70 = 171,658.20 : x
  2. Step 2: Convert to fraction form
    470,839.80/706,259.70 = 171,658.20/x
  3. Step 3: Cross multiply
    470,839.80x = 706,259.70 × 171,658.20
  4. Step 4: Simplify right side
    470,839.80x = 121,235,268,834.54
  5. Step 5: Solve for x
    x = 121,235,268,834.54/470,839.80
  6. Step 6: Final answer
    x = 257,487.30

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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.