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Finding the Fourth Proportional to 501,213.46, 751,807.68 and 146,230.60

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Solution

The fourth proportional to 501,213.46, 751,807.68 and 146,230.60 is: 219,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213.46 : 751,807.68 = 146,230.60 : x
  2. Step 2: Convert to fraction form
    501,213.46/751,807.68 = 146,230.60/x
  3. Step 3: Cross multiply
    501,213.46x = 751,807.68 × 146,230.60
  4. Step 4: Simplify right side
    501,213.46x = 109,937,288,131.01
  5. Step 5: Solve for x
    x = 109,937,288,131.01/501,213.46
  6. Step 6: Final answer
    x = 219,342.25

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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.