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Finding the Fourth Proportional to 304,106.52, 456,573.47 and 171,080.40

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Solution

The fourth proportional to 304,106.52, 456,573.47 and 171,080.40 is: 256,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,106.52 : 456,573.47 = 171,080.40 : x
  2. Step 2: Convert to fraction form
    304,106.52/456,573.47 = 171,080.40/x
  3. Step 3: Cross multiply
    304,106.52x = 456,573.47 × 171,080.40
  4. Step 4: Simplify right side
    304,106.52x = 78,110,771,021.59
  5. Step 5: Solve for x
    x = 78,110,771,021.59/304,106.52
  6. Step 6: Final answer
    x = 256,853.33

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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.