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Finding the Fourth Proportional to 277,218, 415,764.29 and 127,314.18

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Solution

The fourth proportional to 277,218, 415,764.29 and 127,314.18 is: 190,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,218 : 415,764.29 = 127,314.18 : x
  2. Step 2: Convert to fraction form
    277,218/415,764.29 = 127,314.18/x
  3. Step 3: Cross multiply
    277,218x = 415,764.29 × 127,314.18
  4. Step 4: Simplify right side
    277,218x = 52,932,689,018.06
  5. Step 5: Solve for x
    x = 52,932,689,018.06/277,218
  6. Step 6: Final answer
    x = 190,942.47

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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.