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Finding the Fourth Proportional to 421,687.22, 581,918.38 and 230,702.18

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Solution

The fourth proportional to 421,687.22, 581,918.38 and 230,702.18 is: 318,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,687.22 : 581,918.38 = 230,702.18 : x
  2. Step 2: Convert to fraction form
    421,687.22/581,918.38 = 230,702.18/x
  3. Step 3: Cross multiply
    421,687.22x = 581,918.38 × 230,702.18
  4. Step 4: Simplify right side
    421,687.22x = 134,249,834,784.97
  5. Step 5: Solve for x
    x = 134,249,834,784.97/421,687.22
  6. Step 6: Final answer
    x = 318,363.54

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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.