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Finding the Fourth Proportional to 301,883, 416,432.13 and 245,195.96

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Solution

The fourth proportional to 301,883, 416,432.13 and 245,195.96 is: 338,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,883 : 416,432.13 = 245,195.96 : x
  2. Step 2: Convert to fraction form
    301,883/416,432.13 = 245,195.96/x
  3. Step 3: Cross multiply
    301,883x = 416,432.13 × 245,195.96
  4. Step 4: Simplify right side
    301,883x = 102,107,475,890.20
  5. Step 5: Solve for x
    x = 102,107,475,890.20/301,883
  6. Step 6: Final answer
    x = 338,235.26

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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.