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Finding the Fourth Proportional to 298,271.55, 411,615.53 and 162,305.46

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Solution

The fourth proportional to 298,271.55, 411,615.53 and 162,305.46 is: 223,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,271.55 : 411,615.53 = 162,305.46 : x
  2. Step 2: Convert to fraction form
    298,271.55/411,615.53 = 162,305.46/x
  3. Step 3: Cross multiply
    298,271.55x = 411,615.53 × 162,305.46
  4. Step 4: Simplify right side
    298,271.55x = 66,807,447,128.27
  5. Step 5: Solve for x
    x = 66,807,447,128.27/298,271.55
  6. Step 6: Final answer
    x = 223,981.96

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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.