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Finding the Fourth Proportional to 460,326, 690,046.13 and 235,792.18

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Solution

The fourth proportional to 460,326, 690,046.13 and 235,792.18 is: 353,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,326 : 690,046.13 = 235,792.18 : x
  2. Step 2: Convert to fraction form
    460,326/690,046.13 = 235,792.18/x
  3. Step 3: Cross multiply
    460,326x = 690,046.13 × 235,792.18
  4. Step 4: Simplify right side
    460,326x = 162,707,481,293.26
  5. Step 5: Solve for x
    x = 162,707,481,293.26/460,326
  6. Step 6: Final answer
    x = 353,461.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.