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Finding the Fourth Proportional to 471,112.91, 650,085.28 and 277,505.46

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Solution

The fourth proportional to 471,112.91, 650,085.28 and 277,505.46 is: 382,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,112.91 : 650,085.28 = 277,505.46 : x
  2. Step 2: Convert to fraction form
    471,112.91/650,085.28 = 277,505.46/x
  3. Step 3: Cross multiply
    471,112.91x = 650,085.28 × 277,505.46
  4. Step 4: Simplify right side
    471,112.91x = 180,402,213,971.87
  5. Step 5: Solve for x
    x = 180,402,213,971.87/471,112.91
  6. Step 6: Final answer
    x = 382,927.77

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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.