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Finding the Fourth Proportional to 464,601.60, 697,161.60 and 198,316.80

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Solution

The fourth proportional to 464,601.60, 697,161.60 and 198,316.80 is: 297,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,601.60 : 697,161.60 = 198,316.80 : x
  2. Step 2: Convert to fraction form
    464,601.60/697,161.60 = 198,316.80/x
  3. Step 3: Cross multiply
    464,601.60x = 697,161.60 × 198,316.80
  4. Step 4: Simplify right side
    464,601.60x = 138,258,857,594.88
  5. Step 5: Solve for x
    x = 138,258,857,594.88/464,601.60
  6. Step 6: Final answer
    x = 297,585.84

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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.