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Finding the Fourth Proportional to 298,045.90, 447,068.85 and 196,569.10

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Solution

The fourth proportional to 298,045.90, 447,068.85 and 196,569.10 is: 294,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,045.90 : 447,068.85 = 196,569.10 : x
  2. Step 2: Convert to fraction form
    298,045.90/447,068.85 = 196,569.10/x
  3. Step 3: Cross multiply
    298,045.90x = 447,068.85 × 196,569.10
  4. Step 4: Simplify right side
    298,045.90x = 87,879,921,482.54
  5. Step 5: Solve for x
    x = 87,879,921,482.54/298,045.90
  6. Step 6: Final answer
    x = 294,853.65

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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.