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Finding the Fourth Proportional to 309,059.15, 463,515.93 and 84,366.14

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Solution

The fourth proportional to 309,059.15, 463,515.93 and 84,366.14 is: 126,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,059.15 : 463,515.93 = 84,366.14 : x
  2. Step 2: Convert to fraction form
    309,059.15/463,515.93 = 84,366.14/x
  3. Step 3: Cross multiply
    309,059.15x = 463,515.93 × 84,366.14
  4. Step 4: Simplify right side
    309,059.15x = 39,105,047,525.03
  5. Step 5: Solve for x
    x = 39,105,047,525.03/309,059.15
  6. Step 6: Final answer
    x = 126,529.33

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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.