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Finding the Fourth Proportional to 298,347.21, 411,722.51 and 162,382.02

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Solution

The fourth proportional to 298,347.21, 411,722.51 and 162,382.02 is: 224,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,347.21 : 411,722.51 = 162,382.02 : x
  2. Step 2: Convert to fraction form
    298,347.21/411,722.51 = 162,382.02/x
  3. Step 3: Cross multiply
    298,347.21x = 411,722.51 × 162,382.02
  4. Step 4: Simplify right side
    298,347.21x = 66,856,332,041.36
  5. Step 5: Solve for x
    x = 66,856,332,041.36/298,347.21
  6. Step 6: Final answer
    x = 224,089.01

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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.