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Finding the Fourth Proportional to 468,951.64, 647,152.34 and 254,097.52

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Solution

The fourth proportional to 468,951.64, 647,152.34 and 254,097.52 is: 350,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,951.64 : 647,152.34 = 254,097.52 : x
  2. Step 2: Convert to fraction form
    468,951.64/647,152.34 = 254,097.52/x
  3. Step 3: Cross multiply
    468,951.64x = 647,152.34 × 254,097.52
  4. Step 4: Simplify right side
    468,951.64x = 164,439,804,656.20
  5. Step 5: Solve for x
    x = 164,439,804,656.20/468,951.64
  6. Step 6: Final answer
    x = 350,654.08

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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.