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Finding the Fourth Proportional to 471,667.85, 707,402.54 and 151,848.30

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Solution

The fourth proportional to 471,667.85, 707,402.54 and 151,848.30 is: 227,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,667.85 : 707,402.54 = 151,848.30 : x
  2. Step 2: Convert to fraction form
    471,667.85/707,402.54 = 151,848.30/x
  3. Step 3: Cross multiply
    471,667.85x = 707,402.54 × 151,848.30
  4. Step 4: Simplify right side
    471,667.85x = 107,417,872,355.44
  5. Step 5: Solve for x
    x = 107,417,872,355.44/471,667.85
  6. Step 6: Final answer
    x = 227,740.50

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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.