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Finding the Fourth Proportional to 401,072.96, 601,598.10 and 134,848.64

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Solution

The fourth proportional to 401,072.96, 601,598.10 and 134,848.64 is: 202,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,072.96 : 601,598.10 = 134,848.64 : x
  2. Step 2: Convert to fraction form
    401,072.96/601,598.10 = 134,848.64/x
  3. Step 3: Cross multiply
    401,072.96x = 601,598.10 × 134,848.64
  4. Step 4: Simplify right side
    401,072.96x = 81,124,685,611.58
  5. Step 5: Solve for x
    x = 81,124,685,611.58/401,072.96
  6. Step 6: Final answer
    x = 202,269.15

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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.