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Finding the Fourth Proportional to 412,967.68, 570,000.15 and 282,198.26

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Solution

The fourth proportional to 412,967.68, 570,000.15 and 282,198.26 is: 389,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,967.68 : 570,000.15 = 282,198.26 : x
  2. Step 2: Convert to fraction form
    412,967.68/570,000.15 = 282,198.26/x
  3. Step 3: Cross multiply
    412,967.68x = 570,000.15 × 282,198.26
  4. Step 4: Simplify right side
    412,967.68x = 160,853,051,954.74
  5. Step 5: Solve for x
    x = 160,853,051,954.74/412,967.68
  6. Step 6: Final answer
    x = 389,505.19

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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.