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Finding the Fourth Proportional to 298,071.65, 447,012.63 and 98,354.81

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Solution

The fourth proportional to 298,071.65, 447,012.63 and 98,354.81 is: 147,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.65 : 447,012.63 = 98,354.81 : x
  2. Step 2: Convert to fraction form
    298,071.65/447,012.63 = 98,354.81/x
  3. Step 3: Cross multiply
    298,071.65x = 447,012.63 × 98,354.81
  4. Step 4: Simplify right side
    298,071.65x = 43,965,840,056.19
  5. Step 5: Solve for x
    x = 43,965,840,056.19/298,071.65
  6. Step 6: Final answer
    x = 147,500.91

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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.