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Finding the Fourth Proportional to 471,513.11, 650,702.42 and 333,938.50

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Solution

The fourth proportional to 471,513.11, 650,702.42 and 333,938.50 is: 460,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,513.11 : 650,702.42 = 333,938.50 : x
  2. Step 2: Convert to fraction form
    471,513.11/650,702.42 = 333,938.50/x
  3. Step 3: Cross multiply
    471,513.11x = 650,702.42 × 333,938.50
  4. Step 4: Simplify right side
    471,513.11x = 217,294,590,477.13
  5. Step 5: Solve for x
    x = 217,294,590,477.13/471,513.11
  6. Step 6: Final answer
    x = 460,845.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.