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Finding the Fourth Proportional to 427,561.64, 590,025.96 and 233,968.58

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Solution

The fourth proportional to 427,561.64, 590,025.96 and 233,968.58 is: 322,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,561.64 : 590,025.96 = 233,968.58 : x
  2. Step 2: Convert to fraction form
    427,561.64/590,025.96 = 233,968.58/x
  3. Step 3: Cross multiply
    427,561.64x = 590,025.96 × 233,968.58
  4. Step 4: Simplify right side
    427,561.64x = 138,047,533,074.21
  5. Step 5: Solve for x
    x = 138,047,533,074.21/427,561.64
  6. Step 6: Final answer
    x = 322,871.65

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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.