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Finding the Fourth Proportional to 464,977.80, 697,466.70 and 199,038.60

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Solution

The fourth proportional to 464,977.80, 697,466.70 and 199,038.60 is: 298,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,977.80 : 697,466.70 = 199,038.60 : x
  2. Step 2: Convert to fraction form
    464,977.80/697,466.70 = 199,038.60/x
  3. Step 3: Cross multiply
    464,977.80x = 697,466.70 × 199,038.60
  4. Step 4: Simplify right side
    464,977.80x = 138,822,795,514.62
  5. Step 5: Solve for x
    x = 138,822,795,514.62/464,977.80
  6. Step 6: Final answer
    x = 298,557.90

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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.