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Finding the Fourth Proportional to 474,667.58, 711,890.62 and 137,617.77

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Solution

The fourth proportional to 474,667.58, 711,890.62 and 137,617.77 is: 206,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,667.58 : 711,890.62 = 137,617.77 : x
  2. Step 2: Convert to fraction form
    474,667.58/711,890.62 = 137,617.77/x
  3. Step 3: Cross multiply
    474,667.58x = 711,890.62 × 137,617.77
  4. Step 4: Simplify right side
    474,667.58x = 97,968,799,608.32
  5. Step 5: Solve for x
    x = 97,968,799,608.32/474,667.58
  6. Step 6: Final answer
    x = 206,394.55

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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.