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Finding the Fourth Proportional to 470,939.80, 706,409.70 and 204,827.80

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Solution

The fourth proportional to 470,939.80, 706,409.70 and 204,827.80 is: 307,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,939.80 : 706,409.70 = 204,827.80 : x
  2. Step 2: Convert to fraction form
    470,939.80/706,409.70 = 204,827.80/x
  3. Step 3: Cross multiply
    470,939.80x = 706,409.70 × 204,827.80
  4. Step 4: Simplify right side
    470,939.80x = 144,692,344,749.66
  5. Step 5: Solve for x
    x = 144,692,344,749.66/470,939.80
  6. Step 6: Final answer
    x = 307,241.70

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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.