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Finding the Fourth Proportional to 401,444, 602,206.32 and 105,956

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Solution

The fourth proportional to 401,444, 602,206.32 and 105,956 is: 158,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,444 : 602,206.32 = 105,956 : x
  2. Step 2: Convert to fraction form
    401,444/602,206.32 = 105,956/x
  3. Step 3: Cross multiply
    401,444x = 602,206.32 × 105,956
  4. Step 4: Simplify right side
    401,444x = 63,807,372,841.92
  5. Step 5: Solve for x
    x = 63,807,372,841.92/401,444
  6. Step 6: Final answer
    x = 158,944.64

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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.