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Finding the Fourth Proportional to 517,633.52, 714,083.90 and 333,823.64

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Solution

The fourth proportional to 517,633.52, 714,083.90 and 333,823.64 is: 460,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,633.52 : 714,083.90 = 333,823.64 : x
  2. Step 2: Convert to fraction form
    517,633.52/714,083.90 = 333,823.64/x
  3. Step 3: Cross multiply
    517,633.52x = 714,083.90 × 333,823.64
  4. Step 4: Simplify right side
    517,633.52x = 238,378,081,523.86
  5. Step 5: Solve for x
    x = 238,378,081,523.86/517,633.52
  6. Step 6: Final answer
    x = 460,515.16

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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.