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Finding the Fourth Proportional to 468,460.20, 646,474.94 and 253,600.11

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Solution

The fourth proportional to 468,460.20, 646,474.94 and 253,600.11 is: 349,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460.20 : 646,474.94 = 253,600.11 : x
  2. Step 2: Convert to fraction form
    468,460.20/646,474.94 = 253,600.11/x
  3. Step 3: Cross multiply
    468,460.20x = 646,474.94 × 253,600.11
  4. Step 4: Simplify right side
    468,460.20x = 163,946,111,395.87
  5. Step 5: Solve for x
    x = 163,946,111,395.87/468,460.20
  6. Step 6: Final answer
    x = 349,968.07

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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.