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Finding the Fourth Proportional to 426,530.64, 588,612.51 and 232,941

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Solution

The fourth proportional to 426,530.64, 588,612.51 and 232,941 is: 321,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,530.64 : 588,612.51 = 232,941 : x
  2. Step 2: Convert to fraction form
    426,530.64/588,612.51 = 232,941/x
  3. Step 3: Cross multiply
    426,530.64x = 588,612.51 × 232,941
  4. Step 4: Simplify right side
    426,530.64x = 137,111,986,691.91
  5. Step 5: Solve for x
    x = 137,111,986,691.91/426,530.64
  6. Step 6: Final answer
    x = 321,458.70

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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.