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Finding the Fourth Proportional to 496,509.30, 685,196.28 and 281,681.82

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Solution

The fourth proportional to 496,509.30, 685,196.28 and 281,681.82 is: 388,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,509.30 : 685,196.28 = 281,681.82 : x
  2. Step 2: Convert to fraction form
    496,509.30/685,196.28 = 281,681.82/x
  3. Step 3: Cross multiply
    496,509.30x = 685,196.28 × 281,681.82
  4. Step 4: Simplify right side
    496,509.30x = 193,007,335,207.63
  5. Step 5: Solve for x
    x = 193,007,335,207.63/496,509.30
  6. Step 6: Final answer
    x = 388,728.54

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