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Finding the Fourth Proportional to 298,034.84, 411,298.88 and 170,735.03

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Solution

The fourth proportional to 298,034.84, 411,298.88 and 170,735.03 is: 235,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.84 : 411,298.88 = 170,735.03 : x
  2. Step 2: Convert to fraction form
    298,034.84/411,298.88 = 170,735.03/x
  3. Step 3: Cross multiply
    298,034.84x = 411,298.88 × 170,735.03
  4. Step 4: Simplify right side
    298,034.84x = 70,223,128,070.85
  5. Step 5: Solve for x
    x = 70,223,128,070.85/298,034.84
  6. Step 6: Final answer
    x = 235,620.54

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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.