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Finding the Fourth Proportional to 289,584.40, 434,419.80 and 102,581.20

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Solution

The fourth proportional to 289,584.40, 434,419.80 and 102,581.20 is: 153,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,584.40 : 434,419.80 = 102,581.20 : x
  2. Step 2: Convert to fraction form
    289,584.40/434,419.80 = 102,581.20/x
  3. Step 3: Cross multiply
    289,584.40x = 434,419.80 × 102,581.20
  4. Step 4: Simplify right side
    289,584.40x = 44,563,304,387.76
  5. Step 5: Solve for x
    x = 44,563,304,387.76/289,584.40
  6. Step 6: Final answer
    x = 153,887.10

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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.