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Finding the Fourth Proportional to 464,074.25, 696,011.13 and 164,564.60

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Solution

The fourth proportional to 464,074.25, 696,011.13 and 164,564.60 is: 246,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,074.25 : 696,011.13 = 164,564.60 : x
  2. Step 2: Convert to fraction form
    464,074.25/696,011.13 = 164,564.60/x
  3. Step 3: Cross multiply
    464,074.25x = 696,011.13 × 164,564.60
  4. Step 4: Simplify right side
    464,074.25x = 114,538,789,723.94
  5. Step 5: Solve for x
    x = 114,538,789,723.94/464,074.25
  6. Step 6: Final answer
    x = 246,811.35

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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.