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Finding the Fourth Proportional to 503,840.94, 755,498.97 and 188,038.14

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Solution

The fourth proportional to 503,840.94, 755,498.97 and 188,038.14 is: 281,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,840.94 : 755,498.97 = 188,038.14 : x
  2. Step 2: Convert to fraction form
    503,840.94/755,498.97 = 188,038.14/x
  3. Step 3: Cross multiply
    503,840.94x = 755,498.97 × 188,038.14
  4. Step 4: Simplify right side
    503,840.94x = 142,062,621,090.72
  5. Step 5: Solve for x
    x = 142,062,621,090.72/503,840.94
  6. Step 6: Final answer
    x = 281,959.26

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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.