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Finding the Fourth Proportional to 1,465,809.90, 2,198,714.85 and 1,465,809.90

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Solution

The fourth proportional to 1,465,809.90, 2,198,714.85 and 1,465,809.90 is: 2,198,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,809.90 : 2,198,714.85 = 1,465,809.90 : x
  2. Step 2: Convert to fraction form
    1,465,809.90/2,198,714.85 = 1,465,809.90/x
  3. Step 3: Cross multiply
    1,465,809.90x = 2,198,714.85 × 1,465,809.90
  4. Step 4: Simplify right side
    1,465,809.90x = 3,222,897,994,407.02
  5. Step 5: Solve for x
    x = 3,222,897,994,407.02/1,465,809.90
  6. Step 6: Final answer
    x = 2,198,714.85

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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.