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Finding the Fourth Proportional to 282,963, 390,544.42 and 162,185.24

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Solution

The fourth proportional to 282,963, 390,544.42 and 162,185.24 is: 223,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963 : 390,544.42 = 162,185.24 : x
  2. Step 2: Convert to fraction form
    282,963/390,544.42 = 162,185.24/x
  3. Step 3: Cross multiply
    282,963x = 390,544.42 × 162,185.24
  4. Step 4: Simplify right side
    282,963x = 63,340,540,488.36
  5. Step 5: Solve for x
    x = 63,340,540,488.36/282,963
  6. Step 6: Final answer
    x = 223,847.43

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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.