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Finding the Fourth Proportional to 277,500.52, 416,203.83 and 77,774.95

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Solution

The fourth proportional to 277,500.52, 416,203.83 and 77,774.95 is: 116,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,500.52 : 416,203.83 = 77,774.95 : x
  2. Step 2: Convert to fraction form
    277,500.52/416,203.83 = 77,774.95/x
  3. Step 3: Cross multiply
    277,500.52x = 416,203.83 × 77,774.95
  4. Step 4: Simplify right side
    277,500.52x = 32,370,232,068.06
  5. Step 5: Solve for x
    x = 32,370,232,068.06/277,500.52
  6. Step 6: Final answer
    x = 116,649.27

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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.