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Finding the Fourth Proportional to 297,182.90, 445,758.69 and 97,477

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Solution

The fourth proportional to 297,182.90, 445,758.69 and 97,477 is: 146,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,182.90 : 445,758.69 = 97,477 : x
  2. Step 2: Convert to fraction form
    297,182.90/445,758.69 = 97,477/x
  3. Step 3: Cross multiply
    297,182.90x = 445,758.69 × 97,477
  4. Step 4: Simplify right side
    297,182.90x = 43,451,219,825.13
  5. Step 5: Solve for x
    x = 43,451,219,825.13/297,182.90
  6. Step 6: Final answer
    x = 146,210.36

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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.