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Finding the Fourth Proportional to 498,051.40, 687,343.44 and 283,211.50

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Solution

The fourth proportional to 498,051.40, 687,343.44 and 283,211.50 is: 390,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,051.40 : 687,343.44 = 283,211.50 : x
  2. Step 2: Convert to fraction form
    498,051.40/687,343.44 = 283,211.50/x
  3. Step 3: Cross multiply
    498,051.40x = 687,343.44 × 283,211.50
  4. Step 4: Simplify right side
    498,051.40x = 194,663,566,657.56
  5. Step 5: Solve for x
    x = 194,663,566,657.56/498,051.40
  6. Step 6: Final answer
    x = 390,850.36

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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.