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Finding the Fourth Proportional to 498,039.42, 687,326.88 and 283,199.48

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Solution

The fourth proportional to 498,039.42, 687,326.88 and 283,199.48 is: 390,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,039.42 : 687,326.88 = 283,199.48 : x
  2. Step 2: Convert to fraction form
    498,039.42/687,326.88 = 283,199.48/x
  3. Step 3: Cross multiply
    498,039.42x = 687,326.88 × 283,199.48
  4. Step 4: Simplify right side
    498,039.42x = 194,650,615,006.02
  5. Step 5: Solve for x
    x = 194,650,615,006.02/498,039.42
  6. Step 6: Final answer
    x = 390,833.75

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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.