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Finding the Fourth Proportional to 287,087.40, 430,631.10 and 182,111.40

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Solution

The fourth proportional to 287,087.40, 430,631.10 and 182,111.40 is: 273,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,087.40 : 430,631.10 = 182,111.40 : x
  2. Step 2: Convert to fraction form
    287,087.40/430,631.10 = 182,111.40/x
  3. Step 3: Cross multiply
    287,087.40x = 430,631.10 × 182,111.40
  4. Step 4: Simplify right side
    287,087.40x = 78,422,832,504.54
  5. Step 5: Solve for x
    x = 78,422,832,504.54/287,087.40
  6. Step 6: Final answer
    x = 273,167.10

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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.