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Finding the Fourth Proportional to 457,723.98, 631,696.32 and 253,795.14

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Solution

The fourth proportional to 457,723.98, 631,696.32 and 253,795.14 is: 350,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,723.98 : 631,696.32 = 253,795.14 : x
  2. Step 2: Convert to fraction form
    457,723.98/631,696.32 = 253,795.14/x
  3. Step 3: Cross multiply
    457,723.98x = 631,696.32 × 253,795.14
  4. Step 4: Simplify right side
    457,723.98x = 160,321,455,971.89
  5. Step 5: Solve for x
    x = 160,321,455,971.89/457,723.98
  6. Step 6: Final answer
    x = 350,257.93

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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.