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Finding the Fourth Proportional to 643,477.80, 965,216.70 and 475,516.20

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Solution

The fourth proportional to 643,477.80, 965,216.70 and 475,516.20 is: 713,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,477.80 : 965,216.70 = 475,516.20 : x
  2. Step 2: Convert to fraction form
    643,477.80/965,216.70 = 475,516.20/x
  3. Step 3: Cross multiply
    643,477.80x = 965,216.70 × 475,516.20
  4. Step 4: Simplify right side
    643,477.80x = 458,976,177,360.54
  5. Step 5: Solve for x
    x = 458,976,177,360.54/643,477.80
  6. Step 6: Final answer
    x = 713,274.30

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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.