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Finding the Fourth Proportional to 497,136.83, 685,830.56 and 335,933.06

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Solution

The fourth proportional to 497,136.83, 685,830.56 and 335,933.06 is: 463,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,136.83 : 685,830.56 = 335,933.06 : x
  2. Step 2: Convert to fraction form
    497,136.83/685,830.56 = 335,933.06/x
  3. Step 3: Cross multiply
    497,136.83x = 685,830.56 × 335,933.06
  4. Step 4: Simplify right side
    497,136.83x = 230,393,158,697.23
  5. Step 5: Solve for x
    x = 230,393,158,697.23/497,136.83
  6. Step 6: Final answer
    x = 463,440.13

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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.