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Finding the Fourth Proportional to 470,892.70, 706,339.05 and 411,843.70

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Solution

The fourth proportional to 470,892.70, 706,339.05 and 411,843.70 is: 617,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.70 : 706,339.05 = 411,843.70 : x
  2. Step 2: Convert to fraction form
    470,892.70/706,339.05 = 411,843.70/x
  3. Step 3: Cross multiply
    470,892.70x = 706,339.05 × 411,843.70
  4. Step 4: Simplify right side
    470,892.70x = 290,901,287,806.49
  5. Step 5: Solve for x
    x = 290,901,287,806.49/470,892.70
  6. Step 6: Final answer
    x = 617,765.55

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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.