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Finding the Fourth Proportional to 308,746.48, 462,372.26 and 213,710.38

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Solution

The fourth proportional to 308,746.48, 462,372.26 and 213,710.38 is: 320,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,746.48 : 462,372.26 = 213,710.38 : x
  2. Step 2: Convert to fraction form
    308,746.48/462,372.26 = 213,710.38/x
  3. Step 3: Cross multiply
    308,746.48x = 462,372.26 × 213,710.38
  4. Step 4: Simplify right side
    308,746.48x = 98,813,751,386.06
  5. Step 5: Solve for x
    x = 98,813,751,386.06/308,746.48
  6. Step 6: Final answer
    x = 320,048.19

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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.