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Finding the Fourth Proportional to 424,709.85, 586,099.68 and 233,723.25

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Solution

The fourth proportional to 424,709.85, 586,099.68 and 233,723.25 is: 322,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,709.85 : 586,099.68 = 233,723.25 : x
  2. Step 2: Convert to fraction form
    424,709.85/586,099.68 = 233,723.25/x
  3. Step 3: Cross multiply
    424,709.85x = 586,099.68 × 233,723.25
  4. Step 4: Simplify right side
    424,709.85x = 136,985,119,103.06
  5. Step 5: Solve for x
    x = 136,985,119,103.06/424,709.85
  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.