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Finding the Fourth Proportional to 424,709.87, 586,099.71 and 233,723.26

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Solution

The fourth proportional to 424,709.87, 586,099.71 and 233,723.26 is: 322,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,709.87 : 586,099.71 = 233,723.26 : x
  2. Step 2: Convert to fraction form
    424,709.87/586,099.71 = 233,723.26/x
  3. Step 3: Cross multiply
    424,709.87x = 586,099.71 × 233,723.26
  4. Step 4: Simplify right side
    424,709.87x = 136,985,134,981.53
  5. Step 5: Solve for x
    x = 136,985,134,981.53/424,709.87
  6. Step 6: Final answer
    x = 322,538.15

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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.