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Finding the Fourth Proportional to 468,460.91, 646,475.94 and 253,600.80

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Solution

The fourth proportional to 468,460.91, 646,475.94 and 253,600.80 is: 349,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460.91 : 646,475.94 = 253,600.80 : x
  2. Step 2: Convert to fraction form
    468,460.91/646,475.94 = 253,600.80/x
  3. Step 3: Cross multiply
    468,460.91x = 646,475.94 × 253,600.80
  4. Step 4: Simplify right side
    468,460.91x = 163,946,815,564.75
  5. Step 5: Solve for x
    x = 163,946,815,564.75/468,460.91
  6. Step 6: Final answer
    x = 349,969.05

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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.