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Finding the Fourth Proportional to 468,368.52, 702,537.78 and 198,424.63

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Solution

The fourth proportional to 468,368.52, 702,537.78 and 198,424.63 is: 297,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,368.52 : 702,537.78 = 198,424.63 : x
  2. Step 2: Convert to fraction form
    468,368.52/702,537.78 = 198,424.63/x
  3. Step 3: Cross multiply
    468,368.52x = 702,537.78 × 198,424.63
  4. Step 4: Simplify right side
    468,368.52x = 139,400,800,255.58
  5. Step 5: Solve for x
    x = 139,400,800,255.58/468,368.52
  6. Step 6: Final answer
    x = 297,630.59

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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.