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Finding the Fourth Proportional to 277,830.36, 383,406.08 and 150,506.46

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Solution

The fourth proportional to 277,830.36, 383,406.08 and 150,506.46 is: 207,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,830.36 : 383,406.08 = 150,506.46 : x
  2. Step 2: Convert to fraction form
    277,830.36/383,406.08 = 150,506.46/x
  3. Step 3: Cross multiply
    277,830.36x = 383,406.08 × 150,506.46
  4. Step 4: Simplify right side
    277,830.36x = 57,705,091,843.28
  5. Step 5: Solve for x
    x = 57,705,091,843.28/277,830.36
  6. Step 6: Final answer
    x = 207,699.01

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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.