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Finding the Fourth Proportional to 401,446.40, 602,169.60 and 105,958.40

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Solution

The fourth proportional to 401,446.40, 602,169.60 and 105,958.40 is: 158,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446.40 : 602,169.60 = 105,958.40 : x
  2. Step 2: Convert to fraction form
    401,446.40/602,169.60 = 105,958.40/x
  3. Step 3: Cross multiply
    401,446.40x = 602,169.60 × 105,958.40
  4. Step 4: Simplify right side
    401,446.40x = 63,804,927,344.64
  5. Step 5: Solve for x
    x = 63,804,927,344.64/401,446.40
  6. Step 6: Final answer
    x = 158,937.60

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Why These Related Problems?

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