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Finding the Fourth Proportional to 468,709.54, 646,818.96 and 253,849.60

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Solution

The fourth proportional to 468,709.54, 646,818.96 and 253,849.60 is: 350,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,709.54 : 646,818.96 = 253,849.60 : x
  2. Step 2: Convert to fraction form
    468,709.54/646,818.96 = 253,849.60/x
  3. Step 3: Cross multiply
    468,709.54x = 646,818.96 × 253,849.60
  4. Step 4: Simplify right side
    468,709.54x = 164,194,734,268.42
  5. Step 5: Solve for x
    x = 164,194,734,268.42/468,709.54
  6. Step 6: Final answer
    x = 350,312.34

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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.