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Finding the Fourth Proportional to 491,633.32, 678,518.70 and 276,815.38

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Solution

The fourth proportional to 491,633.32, 678,518.70 and 276,815.38 is: 382,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,633.32 : 678,518.70 = 276,815.38 : x
  2. Step 2: Convert to fraction form
    491,633.32/678,518.70 = 276,815.38/x
  3. Step 3: Cross multiply
    491,633.32x = 678,518.70 × 276,815.38
  4. Step 4: Simplify right side
    491,633.32x = 187,824,411,777.61
  5. Step 5: Solve for x
    x = 187,824,411,777.61/491,633.32
  6. Step 6: Final answer
    x = 382,041.66

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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.