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Finding the Fourth Proportional to 506,733.81, 760,218.99 and 146,912.16

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Solution

The fourth proportional to 506,733.81, 760,218.99 and 146,912.16 is: 220,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,733.81 : 760,218.99 = 146,912.16 : x
  2. Step 2: Convert to fraction form
    506,733.81/760,218.99 = 146,912.16/x
  3. Step 3: Cross multiply
    506,733.81x = 760,218.99 × 146,912.16
  4. Step 4: Simplify right side
    506,733.81x = 111,685,416,193.82
  5. Step 5: Solve for x
    x = 111,685,416,193.82/506,733.81
  6. Step 6: Final answer
    x = 220,402.54

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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.