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Finding the Fourth Proportional to 318,002.32, 438,851.28 and 174,766

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Solution

The fourth proportional to 318,002.32, 438,851.28 and 174,766 is: 241,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,002.32 : 438,851.28 = 174,766 : x
  2. Step 2: Convert to fraction form
    318,002.32/438,851.28 = 174,766/x
  3. Step 3: Cross multiply
    318,002.32x = 438,851.28 × 174,766
  4. Step 4: Simplify right side
    318,002.32x = 76,696,282,800.48
  5. Step 5: Solve for x
    x = 76,696,282,800.48/318,002.32
  6. Step 6: Final answer
    x = 241,181.52

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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.