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Finding the Fourth Proportional to 468,045.45, 702,068.18 and 408,996.45

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Solution

The fourth proportional to 468,045.45, 702,068.18 and 408,996.45 is: 613,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,045.45 : 702,068.18 = 408,996.45 : x
  2. Step 2: Convert to fraction form
    468,045.45/702,068.18 = 408,996.45/x
  3. Step 3: Cross multiply
    468,045.45x = 702,068.18 × 408,996.45
  4. Step 4: Simplify right side
    468,045.45x = 287,143,391,232.98
  5. Step 5: Solve for x
    x = 287,143,391,232.98/468,045.45
  6. Step 6: Final answer
    x = 613,494.68

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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.