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Finding the Fourth Proportional to 431,904.96, 595,720.20 and 374,441.64

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Solution

The fourth proportional to 431,904.96, 595,720.20 and 374,441.64 is: 516,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,904.96 : 595,720.20 = 374,441.64 : x
  2. Step 2: Convert to fraction form
    431,904.96/595,720.20 = 374,441.64/x
  3. Step 3: Cross multiply
    431,904.96x = 595,720.20 × 374,441.64
  4. Step 4: Simplify right side
    431,904.96x = 223,062,448,669.13
  5. Step 5: Solve for x
    x = 223,062,448,669.13/431,904.96
  6. Step 6: Final answer
    x = 516,461.88

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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.