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Finding the Fourth Proportional to 470,470.68, 705,704.94 and 204,196.68

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Solution

The fourth proportional to 470,470.68, 705,704.94 and 204,196.68 is: 306,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,470.68 : 705,704.94 = 204,196.68 : x
  2. Step 2: Convert to fraction form
    470,470.68/705,704.94 = 204,196.68/x
  3. Step 3: Cross multiply
    470,470.68x = 705,704.94 × 204,196.68
  4. Step 4: Simplify right side
    470,470.68x = 144,102,605,807.60
  5. Step 5: Solve for x
    x = 144,102,605,807.60/470,470.68
  6. Step 6: Final answer
    x = 306,294.55

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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.