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Finding the Fourth Proportional to 341,055.94, 470,690.46 and 254,865.25

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Solution

The fourth proportional to 341,055.94, 470,690.46 and 254,865.25 is: 351,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,055.94 : 470,690.46 = 254,865.25 : x
  2. Step 2: Convert to fraction form
    341,055.94/470,690.46 = 254,865.25/x
  3. Step 3: Cross multiply
    341,055.94x = 470,690.46 × 254,865.25
  4. Step 4: Simplify right side
    341,055.94x = 119,962,639,407.06
  5. Step 5: Solve for x
    x = 119,962,639,407.06/341,055.94
  6. Step 6: Final answer
    x = 351,738.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.