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Finding the Fourth Proportional to 289,550.64, 399,775.20 and 180,821.12

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Solution

The fourth proportional to 289,550.64, 399,775.20 and 180,821.12 is: 249,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,550.64 : 399,775.20 = 180,821.12 : x
  2. Step 2: Convert to fraction form
    289,550.64/399,775.20 = 180,821.12/x
  3. Step 3: Cross multiply
    289,550.64x = 399,775.20 × 180,821.12
  4. Step 4: Simplify right side
    289,550.64x = 72,287,799,412.22
  5. Step 5: Solve for x
    x = 72,287,799,412.22/289,550.64
  6. Step 6: Final answer
    x = 249,655.12

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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.