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Finding the Fourth Proportional to 509,588.16, 703,299.90 and 328,825.62

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Solution

The fourth proportional to 509,588.16, 703,299.90 and 328,825.62 is: 453,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,588.16 : 703,299.90 = 328,825.62 : x
  2. Step 2: Convert to fraction form
    509,588.16/703,299.90 = 328,825.62/x
  3. Step 3: Cross multiply
    509,588.16x = 703,299.90 × 328,825.62
  4. Step 4: Simplify right side
    509,588.16x = 231,263,025,663.44
  5. Step 5: Solve for x
    x = 231,263,025,663.44/509,588.16
  6. Step 6: Final answer
    x = 453,823.39

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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.