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Finding the Fourth Proportional to 468,406.63, 646,402.76 and 253,546.63

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Solution

The fourth proportional to 468,406.63, 646,402.76 and 253,546.63 is: 349,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,406.63 : 646,402.76 = 253,546.63 : x
  2. Step 2: Convert to fraction form
    468,406.63/646,402.76 = 253,546.63/x
  3. Step 3: Cross multiply
    468,406.63x = 646,402.76 × 253,546.63
  4. Step 4: Simplify right side
    468,406.63x = 163,893,241,420.70
  5. Step 5: Solve for x
    x = 163,893,241,420.70/468,406.63
  6. Step 6: Final answer
    x = 349,895.22

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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.