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Finding the Fourth Proportional to 509,754, 702,423.12 and 394,331.52

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Solution

The fourth proportional to 509,754, 702,423.12 and 394,331.52 is: 543,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,754 : 702,423.12 = 394,331.52 : x
  2. Step 2: Convert to fraction form
    509,754/702,423.12 = 394,331.52/x
  3. Step 3: Cross multiply
    509,754x = 702,423.12 × 394,331.52
  4. Step 4: Simplify right side
    509,754x = 276,987,576,592.74
  5. Step 5: Solve for x
    x = 276,987,576,592.74/509,754
  6. Step 6: Final answer
    x = 543,374.99

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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.