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Finding the Fourth Proportional to 506,735.81, 760,221.99 and 146,914.16

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Solution

The fourth proportional to 506,735.81, 760,221.99 and 146,914.16 is: 220,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,735.81 : 760,221.99 = 146,914.16 : x
  2. Step 2: Convert to fraction form
    506,735.81/760,221.99 = 146,914.16/x
  3. Step 3: Cross multiply
    506,735.81x = 760,221.99 × 146,914.16
  4. Step 4: Simplify right side
    506,735.81x = 111,687,375,074.38
  5. Step 5: Solve for x
    x = 111,687,375,074.38/506,735.81
  6. Step 6: Final answer
    x = 220,405.53

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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.