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Finding the Fourth Proportional to 405,742.44, 559,735.90 and 262,548.76

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Solution

The fourth proportional to 405,742.44, 559,735.90 and 262,548.76 is: 362,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,742.44 : 559,735.90 = 262,548.76 : x
  2. Step 2: Convert to fraction form
    405,742.44/559,735.90 = 262,548.76/x
  3. Step 3: Cross multiply
    405,742.44x = 559,735.90 × 262,548.76
  4. Step 4: Simplify right side
    405,742.44x = 146,957,966,472.48
  5. Step 5: Solve for x
    x = 146,957,966,472.48/405,742.44
  6. Step 6: Final answer
    x = 362,195.21

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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.