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Finding the Fourth Proportional to 333,181.80, 459,468 and 282,190.68

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Solution

The fourth proportional to 333,181.80, 459,468 and 282,190.68 is: 389,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,181.80 : 459,468 = 282,190.68 : x
  2. Step 2: Convert to fraction form
    333,181.80/459,468 = 282,190.68/x
  3. Step 3: Cross multiply
    333,181.80x = 459,468 × 282,190.68
  4. Step 4: Simplify right side
    333,181.80x = 129,657,587,358.24
  5. Step 5: Solve for x
    x = 129,657,587,358.24/333,181.80
  6. Step 6: Final answer
    x = 389,149.67

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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.