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Finding the Fourth Proportional to 277,948.36, 417,480.48 and 165,847.36

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Solution

The fourth proportional to 277,948.36, 417,480.48 and 165,847.36 is: 249,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,948.36 : 417,480.48 = 165,847.36 : x
  2. Step 2: Convert to fraction form
    277,948.36/417,480.48 = 165,847.36/x
  3. Step 3: Cross multiply
    277,948.36x = 417,480.48 × 165,847.36
  4. Step 4: Simplify right side
    277,948.36x = 69,238,035,459.53
  5. Step 5: Solve for x
    x = 69,238,035,459.53/277,948.36
  6. Step 6: Final answer
    x = 249,103.95

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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.