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Finding the Fourth Proportional to 286,843.09, 430,070.52 and 160,570.52

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Solution

The fourth proportional to 286,843.09, 430,070.52 and 160,570.52 is: 240,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,843.09 : 430,070.52 = 160,570.52 : x
  2. Step 2: Convert to fraction form
    286,843.09/430,070.52 = 160,570.52/x
  3. Step 3: Cross multiply
    286,843.09x = 430,070.52 × 160,570.52
  4. Step 4: Simplify right side
    286,843.09x = 69,056,647,033.07
  5. Step 5: Solve for x
    x = 69,056,647,033.07/286,843.09
  6. Step 6: Final answer
    x = 240,747.12

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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.