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Finding the Fourth Proportional to 470,504.18, 705,359.52 and 204,064

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Solution

The fourth proportional to 470,504.18, 705,359.52 and 204,064 is: 305,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504.18 : 705,359.52 = 204,064 : x
  2. Step 2: Convert to fraction form
    470,504.18/705,359.52 = 204,064/x
  3. Step 3: Cross multiply
    470,504.18x = 705,359.52 × 204,064
  4. Step 4: Simplify right side
    470,504.18x = 143,938,485,089.28
  5. Step 5: Solve for x
    x = 143,938,485,089.28/470,504.18
  6. Step 6: Final answer
    x = 305,923.92

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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.