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Finding the Fourth Proportional to 426,704.84, 588,854.64 and 233,115.32

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Solution

The fourth proportional to 426,704.84, 588,854.64 and 233,115.32 is: 321,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,704.84 : 588,854.64 = 233,115.32 : x
  2. Step 2: Convert to fraction form
    426,704.84/588,854.64 = 233,115.32/x
  3. Step 3: Cross multiply
    426,704.84x = 588,854.64 × 233,115.32
  4. Step 4: Simplify right side
    426,704.84x = 137,271,037,837.09
  5. Step 5: Solve for x
    x = 137,271,037,837.09/426,704.84
  6. Step 6: Final answer
    x = 321,700.21

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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.