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Finding the Fourth Proportional to 470,166.20, 705,710.10 and 233,775.80

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Solution

The fourth proportional to 470,166.20, 705,710.10 and 233,775.80 is: 350,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,166.20 : 705,710.10 = 233,775.80 : x
  2. Step 2: Convert to fraction form
    470,166.20/705,710.10 = 233,775.80/x
  3. Step 3: Cross multiply
    470,166.20x = 705,710.10 × 233,775.80
  4. Step 4: Simplify right side
    470,166.20x = 164,977,943,195.58
  5. Step 5: Solve for x
    x = 164,977,943,195.58/470,166.20
  6. Step 6: Final answer
    x = 350,892.82

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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.