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Finding the Fourth Proportional to 277,036.60, 414,518.10 and 183,724.60

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Solution

The fourth proportional to 277,036.60, 414,518.10 and 183,724.60 is: 274,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,036.60 : 414,518.10 = 183,724.60 : x
  2. Step 2: Convert to fraction form
    277,036.60/414,518.10 = 183,724.60/x
  3. Step 3: Cross multiply
    277,036.60x = 414,518.10 × 183,724.60
  4. Step 4: Simplify right side
    277,036.60x = 76,157,172,115.26
  5. Step 5: Solve for x
    x = 76,157,172,115.26/277,036.60
  6. Step 6: Final answer
    x = 274,899.32

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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.