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Finding the Fourth Proportional to 318,438.34, 439,196.16 and 197,511.82

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Solution

The fourth proportional to 318,438.34, 439,196.16 and 197,511.82 is: 272,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,438.34 : 439,196.16 = 197,511.82 : x
  2. Step 2: Convert to fraction form
    318,438.34/439,196.16 = 197,511.82/x
  3. Step 3: Cross multiply
    318,438.34x = 439,196.16 × 197,511.82
  4. Step 4: Simplify right side
    318,438.34x = 86,746,432,898.61
  5. Step 5: Solve for x
    x = 86,746,432,898.61/318,438.34
  6. Step 6: Final answer
    x = 272,412.02

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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.