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Finding the Fourth Proportional to 298,287.84, 447,501.84 and 98,608.23

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Solution

The fourth proportional to 298,287.84, 447,501.84 and 98,608.23 is: 147,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.84 : 447,501.84 = 98,608.23 : x
  2. Step 2: Convert to fraction form
    298,287.84/447,501.84 = 98,608.23/x
  3. Step 3: Cross multiply
    298,287.84x = 447,501.84 × 98,608.23
  4. Step 4: Simplify right side
    298,287.84x = 44,127,364,364.14
  5. Step 5: Solve for x
    x = 44,127,364,364.14/298,287.84
  6. Step 6: Final answer
    x = 147,935.51

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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.