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Finding the Fourth Proportional to 594,284, 820,124.88 and 326,012

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Solution

The fourth proportional to 594,284, 820,124.88 and 326,012 is: 449,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,284 : 820,124.88 = 326,012 : x
  2. Step 2: Convert to fraction form
    594,284/820,124.88 = 326,012/x
  3. Step 3: Cross multiply
    594,284x = 820,124.88 × 326,012
  4. Step 4: Simplify right side
    594,284x = 267,370,552,378.56
  5. Step 5: Solve for x
    x = 267,370,552,378.56/594,284
  6. Step 6: Final answer
    x = 449,903.67

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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.