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Finding the Fourth Proportional to 277,594.32, 416,329.22 and 127,690.65

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Solution

The fourth proportional to 277,594.32, 416,329.22 and 127,690.65 is: 191,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.32 : 416,329.22 = 127,690.65 : x
  2. Step 2: Convert to fraction form
    277,594.32/416,329.22 = 127,690.65/x
  3. Step 3: Cross multiply
    277,594.32x = 416,329.22 × 127,690.65
  4. Step 4: Simplify right side
    277,594.32x = 53,161,348,077.34
  5. Step 5: Solve for x
    x = 53,161,348,077.34/277,594.32
  6. Step 6: Final answer
    x = 191,507.33

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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.