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Finding the Fourth Proportional to 277,842.14, 414,322.92 and 275,316.02

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Solution

The fourth proportional to 277,842.14, 414,322.92 and 275,316.02 is: 410,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,842.14 : 414,322.92 = 275,316.02 : x
  2. Step 2: Convert to fraction form
    277,842.14/414,322.92 = 275,316.02/x
  3. Step 3: Cross multiply
    277,842.14x = 414,322.92 × 275,316.02
  4. Step 4: Simplify right side
    277,842.14x = 114,069,735,952.60
  5. Step 5: Solve for x
    x = 114,069,735,952.60/277,842.14
  6. Step 6: Final answer
    x = 410,555.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.