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Finding the Fourth Proportional to 277,663.54, 416,491.62 and 67,303.30

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Solution

The fourth proportional to 277,663.54, 416,491.62 and 67,303.30 is: 100,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.54 : 416,491.62 = 67,303.30 : x
  2. Step 2: Convert to fraction form
    277,663.54/416,491.62 = 67,303.30/x
  3. Step 3: Cross multiply
    277,663.54x = 416,491.62 × 67,303.30
  4. Step 4: Simplify right side
    277,663.54x = 28,031,260,448.35
  5. Step 5: Solve for x
    x = 28,031,260,448.35/277,663.54
  6. Step 6: Final answer
    x = 100,954.06

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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.