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Finding the Fourth Proportional to 297,830.98, 446,801.82 and 98,165.38

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Solution

The fourth proportional to 297,830.98, 446,801.82 and 98,165.38 is: 147,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,830.98 : 446,801.82 = 98,165.38 : x
  2. Step 2: Convert to fraction form
    297,830.98/446,801.82 = 98,165.38/x
  3. Step 3: Cross multiply
    297,830.98x = 446,801.82 × 98,165.38
  4. Step 4: Simplify right side
    297,830.98x = 43,860,470,444.99
  5. Step 5: Solve for x
    x = 43,860,470,444.99/297,830.98
  6. Step 6: Final answer
    x = 147,266.31

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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.