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Finding the Fourth Proportional to 262,616, 362,410.24 and 143,384

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Solution

The fourth proportional to 262,616, 362,410.24 and 143,384 is: 197,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,616 : 362,410.24 = 143,384 : x
  2. Step 2: Convert to fraction form
    262,616/362,410.24 = 143,384/x
  3. Step 3: Cross multiply
    262,616x = 362,410.24 × 143,384
  4. Step 4: Simplify right side
    262,616x = 51,963,829,852.16
  5. Step 5: Solve for x
    x = 51,963,829,852.16/262,616
  6. Step 6: Final answer
    x = 197,870.01

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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.