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Finding the Fourth Proportional to 497,189.63, 685,828.63 and 351,831.89

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Solution

The fourth proportional to 497,189.63, 685,828.63 and 351,831.89 is: 485,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,189.63 : 685,828.63 = 351,831.89 : x
  2. Step 2: Convert to fraction form
    497,189.63/685,828.63 = 351,831.89/x
  3. Step 3: Cross multiply
    497,189.63x = 685,828.63 × 351,831.89
  4. Step 4: Simplify right side
    497,189.63x = 241,296,383,109.01
  5. Step 5: Solve for x
    x = 241,296,383,109.01/497,189.63
  6. Step 6: Final answer
    x = 485,320.63

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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.