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Finding the Fourth Proportional to 262,897.84, 362,373.99 and 205,437.31

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Solution

The fourth proportional to 262,897.84, 362,373.99 and 205,437.31 is: 283,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,897.84 : 362,373.99 = 205,437.31 : x
  2. Step 2: Convert to fraction form
    262,897.84/362,373.99 = 205,437.31/x
  3. Step 3: Cross multiply
    262,897.84x = 362,373.99 × 205,437.31
  4. Step 4: Simplify right side
    262,897.84x = 74,445,137,719.57
  5. Step 5: Solve for x
    x = 74,445,137,719.57/262,897.84
  6. Step 6: Final answer
    x = 283,171.36

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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.