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Finding the Fourth Proportional to 467,224.66, 700,586.43 and 147,316.78

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Solution

The fourth proportional to 467,224.66, 700,586.43 and 147,316.78 is: 220,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,224.66 : 700,586.43 = 147,316.78 : x
  2. Step 2: Convert to fraction form
    467,224.66/700,586.43 = 147,316.78/x
  3. Step 3: Cross multiply
    467,224.66x = 700,586.43 × 147,316.78
  4. Step 4: Simplify right side
    467,224.66x = 103,208,136,979.30
  5. Step 5: Solve for x
    x = 103,208,136,979.30/467,224.66
  6. Step 6: Final answer
    x = 220,896.17

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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.