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Finding the Fourth Proportional to 262,714.42, 362,405.80 and 160,789.28

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Solution

The fourth proportional to 262,714.42, 362,405.80 and 160,789.28 is: 221,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,714.42 : 362,405.80 = 160,789.28 : x
  2. Step 2: Convert to fraction form
    262,714.42/362,405.80 = 160,789.28/x
  3. Step 3: Cross multiply
    262,714.42x = 362,405.80 × 160,789.28
  4. Step 4: Simplify right side
    262,714.42x = 58,270,967,649.82
  5. Step 5: Solve for x
    x = 58,270,967,649.82/262,714.42
  6. Step 6: Final answer
    x = 221,803.46

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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.