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Finding the Fourth Proportional to 501,064.20, 751,523.40 and 146,041.20

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Solution

The fourth proportional to 501,064.20, 751,523.40 and 146,041.20 is: 219,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,064.20 : 751,523.40 = 146,041.20 : x
  2. Step 2: Convert to fraction form
    501,064.20/751,523.40 = 146,041.20/x
  3. Step 3: Cross multiply
    501,064.20x = 751,523.40 × 146,041.20
  4. Step 4: Simplify right side
    501,064.20x = 109,753,379,164.08
  5. Step 5: Solve for x
    x = 109,753,379,164.08/501,064.20
  6. Step 6: Final answer
    x = 219,040.55

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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.