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Finding the Fourth Proportional to 998,575, 1,378,038.42 and 545,866

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Solution

The fourth proportional to 998,575, 1,378,038.42 and 545,866 is: 753,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,575 : 1,378,038.42 = 545,866 : x
  2. Step 2: Convert to fraction form
    998,575/1,378,038.42 = 545,866/x
  3. Step 3: Cross multiply
    998,575x = 1,378,038.42 × 545,866
  4. Step 4: Simplify right side
    998,575x = 752,224,320,171.72
  5. Step 5: Solve for x
    x = 752,224,320,171.72/998,575
  6. Step 6: Final answer
    x = 753,297.77

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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.