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Finding the Fourth Proportional to 1,198,123, 1,653,412.62 and 654,259.84

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Solution

The fourth proportional to 1,198,123, 1,653,412.62 and 654,259.84 is: 902,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,123 : 1,653,412.62 = 654,259.84 : x
  2. Step 2: Convert to fraction form
    1,198,123/1,653,412.62 = 654,259.84/x
  3. Step 3: Cross multiply
    1,198,123x = 1,653,412.62 × 654,259.84
  4. Step 4: Simplify right side
    1,198,123x = 1,081,761,476,215.18
  5. Step 5: Solve for x
    x = 1,081,761,476,215.18/1,198,123
  6. Step 6: Final answer
    x = 902,880.15

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