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Finding the Fourth Proportional to 410,076.14, 615,043.28 and 185,384.32

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Solution

The fourth proportional to 410,076.14, 615,043.28 and 185,384.32 is: 278,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.14 : 615,043.28 = 185,384.32 : x
  2. Step 2: Convert to fraction form
    410,076.14/615,043.28 = 185,384.32/x
  3. Step 3: Cross multiply
    410,076.14x = 615,043.28 × 185,384.32
  4. Step 4: Simplify right side
    410,076.14x = 114,019,380,233.37
  5. Step 5: Solve for x
    x = 114,019,380,233.37/410,076.14
  6. Step 6: Final answer
    x = 278,044.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.