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Finding the Fourth Proportional to 401,016.41, 601,524.62 and 134,776.93

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Solution

The fourth proportional to 401,016.41, 601,524.62 and 134,776.93 is: 202,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,016.41 : 601,524.62 = 134,776.93 : x
  2. Step 2: Convert to fraction form
    401,016.41/601,524.62 = 134,776.93/x
  3. Step 3: Cross multiply
    401,016.41x = 601,524.62 × 134,776.93
  4. Step 4: Simplify right side
    401,016.41x = 81,071,641,603.02
  5. Step 5: Solve for x
    x = 81,071,641,603.02/401,016.41
  6. Step 6: Final answer
    x = 202,165.40

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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.