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Finding the Fourth Proportional to 227,476.40, 341,214.60 and 152,826.80

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Solution

The fourth proportional to 227,476.40, 341,214.60 and 152,826.80 is: 229,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,476.40 : 341,214.60 = 152,826.80 : x
  2. Step 2: Convert to fraction form
    227,476.40/341,214.60 = 152,826.80/x
  3. Step 3: Cross multiply
    227,476.40x = 341,214.60 × 152,826.80
  4. Step 4: Simplify right side
    227,476.40x = 52,146,735,431.28
  5. Step 5: Solve for x
    x = 52,146,735,431.28/227,476.40
  6. Step 6: Final answer
    x = 229,240.20

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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.