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Finding the Fourth Proportional to 1,298,196.22, 1,945,553.70 and 1,010,355.43

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Solution

The fourth proportional to 1,298,196.22, 1,945,553.70 and 1,010,355.43 is: 1,514,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,196.22 : 1,945,553.70 = 1,010,355.43 : x
  2. Step 2: Convert to fraction form
    1,298,196.22/1,945,553.70 = 1,010,355.43/x
  3. Step 3: Cross multiply
    1,298,196.22x = 1,945,553.70 × 1,010,355.43
  4. Step 4: Simplify right side
    1,298,196.22x = 1,965,700,744,812.37
  5. Step 5: Solve for x
    x = 1,965,700,744,812.37/1,298,196.22
  6. Step 6: Final answer
    x = 1,514,178.46

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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.