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Finding the Fourth Proportional to 287,567.70, 431,351.55 and 270,071.70

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Solution

The fourth proportional to 287,567.70, 431,351.55 and 270,071.70 is: 405,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,567.70 : 431,351.55 = 270,071.70 : x
  2. Step 2: Convert to fraction form
    287,567.70/431,351.55 = 270,071.70/x
  3. Step 3: Cross multiply
    287,567.70x = 431,351.55 × 270,071.70
  4. Step 4: Simplify right side
    287,567.70x = 116,495,846,406.14
  5. Step 5: Solve for x
    x = 116,495,846,406.14/287,567.70
  6. Step 6: Final answer
    x = 405,107.55

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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.