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Finding the Fourth Proportional to 347,066.88, 520,618.56 and 97,768.32

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Solution

The fourth proportional to 347,066.88, 520,618.56 and 97,768.32 is: 146,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,066.88 : 520,618.56 = 97,768.32 : x
  2. Step 2: Convert to fraction form
    347,066.88/520,618.56 = 97,768.32/x
  3. Step 3: Cross multiply
    347,066.88x = 520,618.56 × 97,768.32
  4. Step 4: Simplify right side
    347,066.88x = 50,900,001,972.02
  5. Step 5: Solve for x
    x = 50,900,001,972.02/347,066.88
  6. Step 6: Final answer
    x = 146,657.62

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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.