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Finding the Fourth Proportional to 424,709.84, 586,099.69 and 233,723.23

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Solution

The fourth proportional to 424,709.84, 586,099.69 and 233,723.23 is: 322,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,709.84 : 586,099.69 = 233,723.23 : x
  2. Step 2: Convert to fraction form
    424,709.84/586,099.69 = 233,723.23/x
  3. Step 3: Cross multiply
    424,709.84x = 586,099.69 × 233,723.23
  4. Step 4: Simplify right side
    424,709.84x = 136,985,112,648.80
  5. Step 5: Solve for x
    x = 136,985,112,648.80/424,709.84
  6. Step 6: Final answer
    x = 322,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.