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Finding the Fourth Proportional to 383,084.24, 528,693 and 213,318.32

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Solution

The fourth proportional to 383,084.24, 528,693 and 213,318.32 is: 294,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,084.24 : 528,693 = 213,318.32 : x
  2. Step 2: Convert to fraction form
    383,084.24/528,693 = 213,318.32/x
  3. Step 3: Cross multiply
    383,084.24x = 528,693 × 213,318.32
  4. Step 4: Simplify right side
    383,084.24x = 112,779,902,555.76
  5. Step 5: Solve for x
    x = 112,779,902,555.76/383,084.24
  6. Step 6: Final answer
    x = 294,399.74

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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.