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Finding the Fourth Proportional to 1,605,853, 2,216,077.14 and 890,461

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Solution

The fourth proportional to 1,605,853, 2,216,077.14 and 890,461 is: 1,228,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,853 : 2,216,077.14 = 890,461 : x
  2. Step 2: Convert to fraction form
    1,605,853/2,216,077.14 = 890,461/x
  3. Step 3: Cross multiply
    1,605,853x = 2,216,077.14 × 890,461
  4. Step 4: Simplify right side
    1,605,853x = 1,973,330,266,161.54
  5. Step 5: Solve for x
    x = 1,973,330,266,161.54/1,605,853
  6. Step 6: Final answer
    x = 1,228,836.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.