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Finding the Fourth Proportional to 429,683.36, 592,942.92 and 238,708.40

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Solution

The fourth proportional to 429,683.36, 592,942.92 and 238,708.40 is: 329,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,683.36 : 592,942.92 = 238,708.40 : x
  2. Step 2: Convert to fraction form
    429,683.36/592,942.92 = 238,708.40/x
  3. Step 3: Cross multiply
    429,683.36x = 592,942.92 × 238,708.40
  4. Step 4: Simplify right side
    429,683.36x = 141,540,455,724.53
  5. Step 5: Solve for x
    x = 141,540,455,724.53/429,683.36
  6. Step 6: Final answer
    x = 329,406.42

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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.