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Finding the Fourth Proportional to 413,312.12, 570,396.25 and 275,254.33

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Solution

The fourth proportional to 413,312.12, 570,396.25 and 275,254.33 is: 379,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,312.12 : 570,396.25 = 275,254.33 : x
  2. Step 2: Convert to fraction form
    413,312.12/570,396.25 = 275,254.33/x
  3. Step 3: Cross multiply
    413,312.12x = 570,396.25 × 275,254.33
  4. Step 4: Simplify right side
    413,312.12x = 157,004,036,785.75
  5. Step 5: Solve for x
    x = 157,004,036,785.75/413,312.12
  6. Step 6: Final answer
    x = 379,867.97

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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.