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Finding the Fourth Proportional to 410,048.10, 615,072.15 and 251,763.30

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Solution

The fourth proportional to 410,048.10, 615,072.15 and 251,763.30 is: 377,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,048.10 : 615,072.15 = 251,763.30 : x
  2. Step 2: Convert to fraction form
    410,048.10/615,072.15 = 251,763.30/x
  3. Step 3: Cross multiply
    410,048.10x = 615,072.15 × 251,763.30
  4. Step 4: Simplify right side
    410,048.10x = 154,852,594,222.10
  5. Step 5: Solve for x
    x = 154,852,594,222.10/410,048.10
  6. Step 6: Final answer
    x = 377,644.95

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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.