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Finding the Fourth Proportional to 464,074.37, 696,011.31 and 164,564.72

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Solution

The fourth proportional to 464,074.37, 696,011.31 and 164,564.72 is: 246,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,074.37 : 696,011.31 = 164,564.72 : x
  2. Step 2: Convert to fraction form
    464,074.37/696,011.31 = 164,564.72/x
  3. Step 3: Cross multiply
    464,074.37x = 696,011.31 × 164,564.72
  4. Step 4: Simplify right side
    464,074.37x = 114,538,906,346.98
  5. Step 5: Solve for x
    x = 114,538,906,346.98/464,074.37
  6. Step 6: Final answer
    x = 246,811.53

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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.