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Finding the Fourth Proportional to 298,434.59, 411,826.30 and 162,465.06

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Solution

The fourth proportional to 298,434.59, 411,826.30 and 162,465.06 is: 224,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,434.59 : 411,826.30 = 162,465.06 : x
  2. Step 2: Convert to fraction form
    298,434.59/411,826.30 = 162,465.06/x
  3. Step 3: Cross multiply
    298,434.59x = 411,826.30 × 162,465.06
  4. Step 4: Simplify right side
    298,434.59x = 66,907,384,539.08
  5. Step 5: Solve for x
    x = 66,907,384,539.08/298,434.59
  6. Step 6: Final answer
    x = 224,194.47

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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.