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Finding the Fourth Proportional to 498,040.42, 687,328.26 and 283,200.48

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Solution

The fourth proportional to 498,040.42, 687,328.26 and 283,200.48 is: 390,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,040.42 : 687,328.26 = 283,200.48 : x
  2. Step 2: Convert to fraction form
    498,040.42/687,328.26 = 283,200.48/x
  3. Step 3: Cross multiply
    498,040.42x = 687,328.26 × 283,200.48
  4. Step 4: Simplify right side
    498,040.42x = 194,651,693,149.57
  5. Step 5: Solve for x
    x = 194,651,693,149.57/498,040.42
  6. Step 6: Final answer
    x = 390,835.13

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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.