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Finding the Fourth Proportional to 286,820.46, 395,790.57 and 159,485.22

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Solution

The fourth proportional to 286,820.46, 395,790.57 and 159,485.22 is: 220,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,820.46 : 395,790.57 = 159,485.22 : x
  2. Step 2: Convert to fraction form
    286,820.46/395,790.57 = 159,485.22/x
  3. Step 3: Cross multiply
    286,820.46x = 395,790.57 × 159,485.22
  4. Step 4: Simplify right side
    286,820.46x = 63,122,746,130.38
  5. Step 5: Solve for x
    x = 63,122,746,130.38/286,820.46
  6. Step 6: Final answer
    x = 220,077.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.