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Finding the Fourth Proportional to 470,866.80, 706,300.20 and 321,567.60

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Solution

The fourth proportional to 470,866.80, 706,300.20 and 321,567.60 is: 482,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,866.80 : 706,300.20 = 321,567.60 : x
  2. Step 2: Convert to fraction form
    470,866.80/706,300.20 = 321,567.60/x
  3. Step 3: Cross multiply
    470,866.80x = 706,300.20 × 321,567.60
  4. Step 4: Simplify right side
    470,866.80x = 227,123,260,193.52
  5. Step 5: Solve for x
    x = 227,123,260,193.52/470,866.80
  6. Step 6: Final answer
    x = 482,351.40

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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.