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Finding the Fourth Proportional to 474,670.06, 711,914.37 and 142,246.06

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Solution

The fourth proportional to 474,670.06, 711,914.37 and 142,246.06 is: 213,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,670.06 : 711,914.37 = 142,246.06 : x
  2. Step 2: Convert to fraction form
    474,670.06/711,914.37 = 142,246.06/x
  3. Step 3: Cross multiply
    474,670.06x = 711,914.37 × 142,246.06
  4. Step 4: Simplify right side
    474,670.06x = 101,267,011,876.67
  5. Step 5: Solve for x
    x = 101,267,011,876.67/474,670.06
  6. Step 6: Final answer
    x = 213,341.90

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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.