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Finding the Fourth Proportional to 426,468.65, 588,528.76 and 232,880.42

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Solution

The fourth proportional to 426,468.65, 588,528.76 and 232,880.42 is: 321,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,468.65 : 588,528.76 = 232,880.42 : x
  2. Step 2: Convert to fraction form
    426,468.65/588,528.76 = 232,880.42/x
  3. Step 3: Cross multiply
    426,468.65x = 588,528.76 × 232,880.42
  4. Step 4: Simplify right side
    426,468.65x = 137,056,823,481.15
  5. Step 5: Solve for x
    x = 137,056,823,481.15/426,468.65
  6. Step 6: Final answer
    x = 321,376.08

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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.