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Finding the Fourth Proportional to 426,918.32, 589,131.96 and 257,119.28

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Solution

The fourth proportional to 426,918.32, 589,131.96 and 257,119.28 is: 354,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,918.32 : 589,131.96 = 257,119.28 : x
  2. Step 2: Convert to fraction form
    426,918.32/589,131.96 = 257,119.28/x
  3. Step 3: Cross multiply
    426,918.32x = 589,131.96 × 257,119.28
  4. Step 4: Simplify right side
    426,918.32x = 151,477,185,380.19
  5. Step 5: Solve for x
    x = 151,477,185,380.19/426,918.32
  6. Step 6: Final answer
    x = 354,815.38

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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.