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Finding the Fourth Proportional to 308,669.40, 463,091.76 and 98,323.56

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Solution

The fourth proportional to 308,669.40, 463,091.76 and 98,323.56 is: 147,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,669.40 : 463,091.76 = 98,323.56 : x
  2. Step 2: Convert to fraction form
    308,669.40/463,091.76 = 98,323.56/x
  3. Step 3: Cross multiply
    308,669.40x = 463,091.76 × 98,323.56
  4. Step 4: Simplify right side
    308,669.40x = 45,532,830,449.87
  5. Step 5: Solve for x
    x = 45,532,830,449.87/308,669.40
  6. Step 6: Final answer
    x = 147,513.26

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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.