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Finding the Fourth Proportional to 426,283.54, 588,271.32 and 235,296.98

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Solution

The fourth proportional to 426,283.54, 588,271.32 and 235,296.98 is: 324,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,283.54 : 588,271.32 = 235,296.98 : x
  2. Step 2: Convert to fraction form
    426,283.54/588,271.32 = 235,296.98/x
  3. Step 3: Cross multiply
    426,283.54x = 588,271.32 × 235,296.98
  4. Step 4: Simplify right side
    426,283.54x = 138,418,465,016.61
  5. Step 5: Solve for x
    x = 138,418,465,016.61/426,283.54
  6. Step 6: Final answer
    x = 324,709.85

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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.