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Finding the Fourth Proportional to 475,233.60, 713,042.40 and 209,044.80

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Solution

The fourth proportional to 475,233.60, 713,042.40 and 209,044.80 is: 313,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,233.60 : 713,042.40 = 209,044.80 : x
  2. Step 2: Convert to fraction form
    475,233.60/713,042.40 = 209,044.80/x
  3. Step 3: Cross multiply
    475,233.60x = 713,042.40 × 209,044.80
  4. Step 4: Simplify right side
    475,233.60x = 149,057,805,899.52
  5. Step 5: Solve for x
    x = 149,057,805,899.52/475,233.60
  6. Step 6: Final answer
    x = 313,651.66

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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.