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Finding the Fourth Proportional to 297,184.90, 445,761.69 and 97,479

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Solution

The fourth proportional to 297,184.90, 445,761.69 and 97,479 is: 146,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,184.90 : 445,761.69 = 97,479 : x
  2. Step 2: Convert to fraction form
    297,184.90/445,761.69 = 97,479/x
  3. Step 3: Cross multiply
    297,184.90x = 445,761.69 × 97,479
  4. Step 4: Simplify right side
    297,184.90x = 43,452,403,779.51
  5. Step 5: Solve for x
    x = 43,452,403,779.51/297,184.90
  6. Step 6: Final answer
    x = 146,213.36

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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.