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Finding the Fourth Proportional to 405,745.44, 559,740.04 and 262,551.76

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Solution

The fourth proportional to 405,745.44, 559,740.04 and 262,551.76 is: 362,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,745.44 : 559,740.04 = 262,551.76 : x
  2. Step 2: Convert to fraction form
    405,745.44/559,740.04 = 262,551.76/x
  3. Step 3: Cross multiply
    405,745.44x = 559,740.04 × 262,551.76
  4. Step 4: Simplify right side
    405,745.44x = 146,960,732,644.47
  5. Step 5: Solve for x
    x = 146,960,732,644.47/405,745.44
  6. Step 6: Final answer
    x = 362,199.35

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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.