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Finding the Fourth Proportional to 498,046.46, 687,336.54 and 283,206.50

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Solution

The fourth proportional to 498,046.46, 687,336.54 and 283,206.50 is: 390,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,046.46 : 687,336.54 = 283,206.50 : x
  2. Step 2: Convert to fraction form
    498,046.46/687,336.54 = 283,206.50/x
  3. Step 3: Cross multiply
    498,046.46x = 687,336.54 × 283,206.50
  4. Step 4: Simplify right side
    498,046.46x = 194,658,175,815.51
  5. Step 5: Solve for x
    x = 194,658,175,815.51/498,046.46
  6. Step 6: Final answer
    x = 390,843.41

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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.