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Finding the Fourth Proportional to 405,724.44, 559,711.08 and 262,530.72

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Solution

The fourth proportional to 405,724.44, 559,711.08 and 262,530.72 is: 362,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,724.44 : 559,711.08 = 262,530.72 : x
  2. Step 2: Convert to fraction form
    405,724.44/559,711.08 = 262,530.72/x
  3. Step 3: Cross multiply
    405,724.44x = 559,711.08 × 262,530.72
  4. Step 4: Simplify right side
    405,724.44x = 146,941,352,824.38
  5. Step 5: Solve for x
    x = 146,941,352,824.38/405,724.44
  6. Step 6: Final answer
    x = 362,170.33

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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.