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Finding the Fourth Proportional to 475,962.87, 714,131.22 and 209,536.46

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Solution

The fourth proportional to 475,962.87, 714,131.22 and 209,536.46 is: 314,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,962.87 : 714,131.22 = 209,536.46 : x
  2. Step 2: Convert to fraction form
    475,962.87/714,131.22 = 209,536.46/x
  3. Step 3: Cross multiply
    475,962.87x = 714,131.22 × 209,536.46
  4. Step 4: Simplify right side
    475,962.87x = 149,636,524,243.63
  5. Step 5: Solve for x
    x = 149,636,524,243.63/475,962.87
  6. Step 6: Final answer
    x = 314,386.97

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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.