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Finding the Fourth Proportional to 286,798.44, 430,255.12 and 160,618.16

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Solution

The fourth proportional to 286,798.44, 430,255.12 and 160,618.16 is: 240,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,798.44 : 430,255.12 = 160,618.16 : x
  2. Step 2: Convert to fraction form
    286,798.44/430,255.12 = 160,618.16/x
  3. Step 3: Cross multiply
    286,798.44x = 430,255.12 × 160,618.16
  4. Step 4: Simplify right side
    286,798.44x = 69,106,785,704.98
  5. Step 5: Solve for x
    x = 69,106,785,704.98/286,798.44
  6. Step 6: Final answer
    x = 240,959.42

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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.