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Finding the Fourth Proportional to 420,185.40, 579,834.54 and 229,197.24

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Solution

The fourth proportional to 420,185.40, 579,834.54 and 229,197.24 is: 316,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,185.40 : 579,834.54 = 229,197.24 : x
  2. Step 2: Convert to fraction form
    420,185.40/579,834.54 = 229,197.24/x
  3. Step 3: Cross multiply
    420,185.40x = 579,834.54 × 229,197.24
  4. Step 4: Simplify right side
    420,185.40x = 132,896,476,224.67
  5. Step 5: Solve for x
    x = 132,896,476,224.67/420,185.40
  6. Step 6: Final answer
    x = 316,280.57

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