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Finding the Fourth Proportional to 500,952.06, 751,462.74 and 201,432.69

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Solution

The fourth proportional to 500,952.06, 751,462.74 and 201,432.69 is: 302,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,952.06 : 751,462.74 = 201,432.69 : x
  2. Step 2: Convert to fraction form
    500,952.06/751,462.74 = 201,432.69/x
  3. Step 3: Cross multiply
    500,952.06x = 751,462.74 × 201,432.69
  4. Step 4: Simplify right side
    500,952.06x = 151,369,161,152.97
  5. Step 5: Solve for x
    x = 151,369,161,152.97/500,952.06
  6. Step 6: Final answer
    x = 302,162.97

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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.