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Finding the Fourth Proportional to 277,313.86, 416,016.80 and 97,352.64

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Solution

The fourth proportional to 277,313.86, 416,016.80 and 97,352.64 is: 146,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,313.86 : 416,016.80 = 97,352.64 : x
  2. Step 2: Convert to fraction form
    277,313.86/416,016.80 = 97,352.64/x
  3. Step 3: Cross multiply
    277,313.86x = 416,016.80 × 97,352.64
  4. Step 4: Simplify right side
    277,313.86x = 40,500,333,764.35
  5. Step 5: Solve for x
    x = 40,500,333,764.35/277,313.86
  6. Step 6: Final answer
    x = 146,045.11

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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.