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Finding the Fourth Proportional to 491,073.57, 677,688.53 and 289,869.57

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Solution

The fourth proportional to 491,073.57, 677,688.53 and 289,869.57 is: 400,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,073.57 : 677,688.53 = 289,869.57 : x
  2. Step 2: Convert to fraction form
    491,073.57/677,688.53 = 289,869.57/x
  3. Step 3: Cross multiply
    491,073.57x = 677,688.53 × 289,869.57
  4. Step 4: Simplify right side
    491,073.57x = 196,441,281,335.68
  5. Step 5: Solve for x
    x = 196,441,281,335.68/491,073.57
  6. Step 6: Final answer
    x = 400,024.14

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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.