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Finding the Fourth Proportional to 297,056.30, 445,693.80 and 97,383.20

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Solution

The fourth proportional to 297,056.30, 445,693.80 and 97,383.20 is: 146,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056.30 : 445,693.80 = 97,383.20 : x
  2. Step 2: Convert to fraction form
    297,056.30/445,693.80 = 97,383.20/x
  3. Step 3: Cross multiply
    297,056.30x = 445,693.80 × 97,383.20
  4. Step 4: Simplify right side
    297,056.30x = 43,403,088,464.16
  5. Step 5: Solve for x
    x = 43,403,088,464.16/297,056.30
  6. Step 6: Final answer
    x = 146,110.65

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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.