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Finding the Fourth Proportional to 298,333.62, 411,751.53 and 190,898.46

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Solution

The fourth proportional to 298,333.62, 411,751.53 and 190,898.46 is: 263,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,333.62 : 411,751.53 = 190,898.46 : x
  2. Step 2: Convert to fraction form
    298,333.62/411,751.53 = 190,898.46/x
  3. Step 3: Cross multiply
    298,333.62x = 411,751.53 × 190,898.46
  4. Step 4: Simplify right side
    298,333.62x = 78,602,732,979.64
  5. Step 5: Solve for x
    x = 78,602,732,979.64/298,333.62
  6. Step 6: Final answer
    x = 263,472.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.