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Finding the Fourth Proportional to 283,305.21, 424,858.79 and 83,572.59

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Solution

The fourth proportional to 283,305.21, 424,858.79 and 83,572.59 is: 125,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,305.21 : 424,858.79 = 83,572.59 : x
  2. Step 2: Convert to fraction form
    283,305.21/424,858.79 = 83,572.59/x
  3. Step 3: Cross multiply
    283,305.21x = 424,858.79 × 83,572.59
  4. Step 4: Simplify right side
    283,305.21x = 35,506,549,046.70
  5. Step 5: Solve for x
    x = 35,506,549,046.70/283,305.21
  6. Step 6: Final answer
    x = 125,329.67

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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.