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Finding the Fourth Proportional to 298,834.40, 446,955.60 and 267,471.20

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Solution

The fourth proportional to 298,834.40, 446,955.60 and 267,471.20 is: 400,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,834.40 : 446,955.60 = 267,471.20 : x
  2. Step 2: Convert to fraction form
    298,834.40/446,955.60 = 267,471.20/x
  3. Step 3: Cross multiply
    298,834.40x = 446,955.60 × 267,471.20
  4. Step 4: Simplify right side
    298,834.40x = 119,547,750,678.72
  5. Step 5: Solve for x
    x = 119,547,750,678.72/298,834.40
  6. Step 6: Final answer
    x = 400,046.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.