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Finding the Fourth Proportional to 631,973.70, 947,967.47 and 182,698.46

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Solution

The fourth proportional to 631,973.70, 947,967.47 and 182,698.46 is: 274,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,973.70 : 947,967.47 = 182,698.46 : x
  2. Step 2: Convert to fraction form
    631,973.70/947,967.47 = 182,698.46/x
  3. Step 3: Cross multiply
    631,973.70x = 947,967.47 × 182,698.46
  4. Step 4: Simplify right side
    631,973.70x = 173,192,191,245.77
  5. Step 5: Solve for x
    x = 173,192,191,245.77/631,973.70
  6. Step 6: Final answer
    x = 274,049.68

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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.