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Finding the Fourth Proportional to 277,678.58, 416,237.42 and 109,317.04

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Solution

The fourth proportional to 277,678.58, 416,237.42 and 109,317.04 is: 163,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,678.58 : 416,237.42 = 109,317.04 : x
  2. Step 2: Convert to fraction form
    277,678.58/416,237.42 = 109,317.04/x
  3. Step 3: Cross multiply
    277,678.58x = 416,237.42 × 109,317.04
  4. Step 4: Simplify right side
    277,678.58x = 45,501,843,650.76
  5. Step 5: Solve for x
    x = 45,501,843,650.76/277,678.58
  6. Step 6: Final answer
    x = 163,865.15

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1.5x scale

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.