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Finding the Fourth Proportional to 464,890.46, 697,604.93 and 194,994.60

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Solution

The fourth proportional to 464,890.46, 697,604.93 and 194,994.60 is: 292,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,890.46 : 697,604.93 = 194,994.60 : x
  2. Step 2: Convert to fraction form
    464,890.46/697,604.93 = 194,994.60/x
  3. Step 3: Cross multiply
    464,890.46x = 697,604.93 × 194,994.60
  4. Step 4: Simplify right side
    464,890.46x = 136,029,193,308.41
  5. Step 5: Solve for x
    x = 136,029,193,308.41/464,890.46
  6. Step 6: Final answer
    x = 292,604.83

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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.