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Finding the Fourth Proportional to 442,417, 663,627.93 and 109,993

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Solution

The fourth proportional to 442,417, 663,627.93 and 109,993 is: 164,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,417 : 663,627.93 = 109,993 : x
  2. Step 2: Convert to fraction form
    442,417/663,627.93 = 109,993/x
  3. Step 3: Cross multiply
    442,417x = 663,627.93 × 109,993
  4. Step 4: Simplify right side
    442,417x = 72,994,426,904.49
  5. Step 5: Solve for x
    x = 72,994,426,904.49/442,417
  6. Step 6: Final answer
    x = 164,990.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.