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Finding the Fourth Proportional to 289,492.08, 434,903.40 and 205,460.88

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Solution

The fourth proportional to 289,492.08, 434,903.40 and 205,460.88 is: 308,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,492.08 : 434,903.40 = 205,460.88 : x
  2. Step 2: Convert to fraction form
    289,492.08/434,903.40 = 205,460.88/x
  3. Step 3: Cross multiply
    289,492.08x = 434,903.40 × 205,460.88
  4. Step 4: Simplify right side
    289,492.08x = 89,355,635,278.99
  5. Step 5: Solve for x
    x = 89,355,635,278.99/289,492.08
  6. Step 6: Final answer
    x = 308,663.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.