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Finding the Fourth Proportional to 401,265.36, 601,848.72 and 232,877.25

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Solution

The fourth proportional to 401,265.36, 601,848.72 and 232,877.25 is: 349,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,265.36 : 601,848.72 = 232,877.25 : x
  2. Step 2: Convert to fraction form
    401,265.36/601,848.72 = 232,877.25/x
  3. Step 3: Cross multiply
    401,265.36x = 601,848.72 × 232,877.25
  4. Step 4: Simplify right side
    401,265.36x = 140,156,874,829.62
  5. Step 5: Solve for x
    x = 140,156,874,829.62/401,265.36
  6. Step 6: Final answer
    x = 349,287.25

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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.