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Finding the Fourth Proportional to 280,858.24, 387,584.56 and 153,533.88

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Solution

The fourth proportional to 280,858.24, 387,584.56 and 153,533.88 is: 211,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,858.24 : 387,584.56 = 153,533.88 : x
  2. Step 2: Convert to fraction form
    280,858.24/387,584.56 = 153,533.88/x
  3. Step 3: Cross multiply
    280,858.24x = 387,584.56 × 153,533.88
  4. Step 4: Simplify right side
    280,858.24x = 59,507,361,324.89
  5. Step 5: Solve for x
    x = 59,507,361,324.89/280,858.24
  6. Step 6: Final answer
    x = 211,876.86

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1.5x scale

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.