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Finding the Fourth Proportional to 277,056.60, 414,548.10 and 183,744.60

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Solution

The fourth proportional to 277,056.60, 414,548.10 and 183,744.60 is: 274,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,056.60 : 414,548.10 = 183,744.60 : x
  2. Step 2: Convert to fraction form
    277,056.60/414,548.10 = 183,744.60/x
  3. Step 3: Cross multiply
    277,056.60x = 414,548.10 × 183,744.60
  4. Step 4: Simplify right side
    277,056.60x = 76,170,974,815.26
  5. Step 5: Solve for x
    x = 76,170,974,815.26/277,056.60
  6. Step 6: Final answer
    x = 274,929.29

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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.