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Finding the Fourth Proportional to 277,921.94, 383,390.82 and 175,775.67

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Solution

The fourth proportional to 277,921.94, 383,390.82 and 175,775.67 is: 242,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,921.94 : 383,390.82 = 175,775.67 : x
  2. Step 2: Convert to fraction form
    277,921.94/383,390.82 = 175,775.67/x
  3. Step 3: Cross multiply
    277,921.94x = 383,390.82 × 175,775.67
  4. Step 4: Simplify right side
    277,921.94x = 67,390,778,257.35
  5. Step 5: Solve for x
    x = 67,390,778,257.35/277,921.94
  6. Step 6: Final answer
    x = 242,480.96

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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.