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Finding the Fourth Proportional to 298,284.84, 447,362.46 and 98,557.92

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Solution

The fourth proportional to 298,284.84, 447,362.46 and 98,557.92 is: 147,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284.84 : 447,362.46 = 98,557.92 : x
  2. Step 2: Convert to fraction form
    298,284.84/447,362.46 = 98,557.92/x
  3. Step 3: Cross multiply
    298,284.84x = 447,362.46 × 98,557.92
  4. Step 4: Simplify right side
    298,284.84x = 44,091,113,543.68
  5. Step 5: Solve for x
    x = 44,091,113,543.68/298,284.84
  6. Step 6: Final answer
    x = 147,815.47

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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.