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Finding the Fourth Proportional to 316,121.46, 436,738.82 and 265,055.01

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Solution

The fourth proportional to 316,121.46, 436,738.82 and 265,055.01 is: 366,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,121.46 : 436,738.82 = 265,055.01 : x
  2. Step 2: Convert to fraction form
    316,121.46/436,738.82 = 265,055.01/x
  3. Step 3: Cross multiply
    316,121.46x = 436,738.82 × 265,055.01
  4. Step 4: Simplify right side
    316,121.46x = 115,759,810,977.21
  5. Step 5: Solve for x
    x = 115,759,810,977.21/316,121.46
  6. Step 6: Final answer
    x = 366,187.77

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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.