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Finding the Fourth Proportional to 491,712.42, 678,510.36 and 276,848.58

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Solution

The fourth proportional to 491,712.42, 678,510.36 and 276,848.58 is: 382,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,712.42 : 678,510.36 = 276,848.58 : x
  2. Step 2: Convert to fraction form
    491,712.42/678,510.36 = 276,848.58/x
  3. Step 3: Cross multiply
    491,712.42x = 678,510.36 × 276,848.58
  4. Step 4: Simplify right side
    491,712.42x = 187,844,629,681.29
  5. Step 5: Solve for x
    x = 187,844,629,681.29/491,712.42
  6. Step 6: Final answer
    x = 382,021.32

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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.