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Finding the Fourth Proportional to 264,411.95, 396,533.82 and 86,878.04

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Solution

The fourth proportional to 264,411.95, 396,533.82 and 86,878.04 is: 130,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,411.95 : 396,533.82 = 86,878.04 : x
  2. Step 2: Convert to fraction form
    264,411.95/396,533.82 = 86,878.04/x
  3. Step 3: Cross multiply
    264,411.95x = 396,533.82 × 86,878.04
  4. Step 4: Simplify right side
    264,411.95x = 34,450,081,075.31
  5. Step 5: Solve for x
    x = 34,450,081,075.31/264,411.95
  6. Step 6: Final answer
    x = 130,289.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.