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Finding the Fourth Proportional to 468,541.82, 702,812.70 and 113,555.84

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Solution

The fourth proportional to 468,541.82, 702,812.70 and 113,555.84 is: 170,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,541.82 : 702,812.70 = 113,555.84 : x
  2. Step 2: Convert to fraction form
    468,541.82/702,812.70 = 113,555.84/x
  3. Step 3: Cross multiply
    468,541.82x = 702,812.70 × 113,555.84
  4. Step 4: Simplify right side
    468,541.82x = 79,808,486,511.17
  5. Step 5: Solve for x
    x = 79,808,486,511.17/468,541.82
  6. Step 6: Final answer
    x = 170,333.75

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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.