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Finding the Fourth Proportional to 283,238.58, 424,711.56 and 83,533.56

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Solution

The fourth proportional to 283,238.58, 424,711.56 and 83,533.56 is: 125,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,238.58 : 424,711.56 = 83,533.56 : x
  2. Step 2: Convert to fraction form
    283,238.58/424,711.56 = 83,533.56/x
  3. Step 3: Cross multiply
    283,238.58x = 424,711.56 × 83,533.56
  4. Step 4: Simplify right side
    283,238.58x = 35,477,668,579.95
  5. Step 5: Solve for x
    x = 35,477,668,579.95/283,238.58
  6. Step 6: Final answer
    x = 125,257.19

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1.5x scale

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.