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Finding the Fourth Proportional to 382,359.60, 527,654.52 and 212,583.60

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Solution

The fourth proportional to 382,359.60, 527,654.52 and 212,583.60 is: 293,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,359.60 : 527,654.52 = 212,583.60 : x
  2. Step 2: Convert to fraction form
    382,359.60/527,654.52 = 212,583.60/x
  3. Step 3: Cross multiply
    382,359.60x = 527,654.52 × 212,583.60
  4. Step 4: Simplify right side
    382,359.60x = 112,170,697,417.87
  5. Step 5: Solve for x
    x = 112,170,697,417.87/382,359.60
  6. Step 6: Final answer
    x = 293,364.41

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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.