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Finding the Fourth Proportional to 457,146.42, 630,834.34 and 253,185.17

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Solution

The fourth proportional to 457,146.42, 630,834.34 and 253,185.17 is: 349,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,146.42 : 630,834.34 = 253,185.17 : x
  2. Step 2: Convert to fraction form
    457,146.42/630,834.34 = 253,185.17/x
  3. Step 3: Cross multiply
    457,146.42x = 630,834.34 × 253,185.17
  4. Step 4: Simplify right side
    457,146.42x = 159,717,902,424.58
  5. Step 5: Solve for x
    x = 159,717,902,424.58/457,146.42
  6. Step 6: Final answer
    x = 349,380.19

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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.