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Finding the Fourth Proportional to 468,418.54, 646,417.05 and 253,558.54

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Solution

The fourth proportional to 468,418.54, 646,417.05 and 253,558.54 is: 349,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,418.54 : 646,417.05 = 253,558.54 : x
  2. Step 2: Convert to fraction form
    468,418.54/646,417.05 = 253,558.54/x
  3. Step 3: Cross multiply
    468,418.54x = 646,417.05 × 253,558.54
  4. Step 4: Simplify right side
    468,418.54x = 163,904,563,429.11
  5. Step 5: Solve for x
    x = 163,904,563,429.11/468,418.54
  6. Step 6: Final answer
    x = 349,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.