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Finding the Fourth Proportional to 633,734.70, 950,746.05 and 213,053.10

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Solution

The fourth proportional to 633,734.70, 950,746.05 and 213,053.10 is: 319,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,734.70 : 950,746.05 = 213,053.10 : x
  2. Step 2: Convert to fraction form
    633,734.70/950,746.05 = 213,053.10/x
  3. Step 3: Cross multiply
    633,734.70x = 950,746.05 × 213,053.10
  4. Step 4: Simplify right side
    633,734.70x = 202,559,393,265.26
  5. Step 5: Solve for x
    x = 202,559,393,265.26/633,734.70
  6. Step 6: Final answer
    x = 319,628.06

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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.