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Finding the Fourth Proportional to 468,461.20, 646,476.31 and 253,601.11

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Solution

The fourth proportional to 468,461.20, 646,476.31 and 253,601.11 is: 349,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.20 : 646,476.31 = 253,601.11 : x
  2. Step 2: Convert to fraction form
    468,461.20/646,476.31 = 253,601.11/x
  3. Step 3: Cross multiply
    468,461.20x = 646,476.31 × 253,601.11
  4. Step 4: Simplify right side
    468,461.20x = 163,947,109,804.70
  5. Step 5: Solve for x
    x = 163,947,109,804.70/468,461.20
  6. Step 6: Final answer
    x = 349,969.45

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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.