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Finding the Fourth Proportional to 465,374.49, 698,097.10 and 180,942.84

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Solution

The fourth proportional to 465,374.49, 698,097.10 and 180,942.84 is: 271,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,374.49 : 698,097.10 = 180,942.84 : x
  2. Step 2: Convert to fraction form
    465,374.49/698,097.10 = 180,942.84/x
  3. Step 3: Cross multiply
    465,374.49x = 698,097.10 × 180,942.84
  4. Step 4: Simplify right side
    465,374.49x = 126,315,671,869.76
  5. Step 5: Solve for x
    x = 126,315,671,869.76/465,374.49
  6. Step 6: Final answer
    x = 271,428.01

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Why These Related Problems?

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