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Finding the Fourth Proportional to 470,101.20, 705,612.60 and 233,710.80

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Solution

The fourth proportional to 470,101.20, 705,612.60 and 233,710.80 is: 350,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,101.20 : 705,612.60 = 233,710.80 : x
  2. Step 2: Convert to fraction form
    470,101.20/705,612.60 = 233,710.80/x
  3. Step 3: Cross multiply
    470,101.20x = 705,612.60 × 233,710.80
  4. Step 4: Simplify right side
    470,101.20x = 164,909,285,236.08
  5. Step 5: Solve for x
    x = 164,909,285,236.08/470,101.20
  6. Step 6: Final answer
    x = 350,795.29

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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.