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Finding the Fourth Proportional to 468,644.64, 646,730.22 and 253,785.07

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Solution

The fourth proportional to 468,644.64, 646,730.22 and 253,785.07 is: 350,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.64 : 646,730.22 = 253,785.07 : x
  2. Step 2: Convert to fraction form
    468,644.64/646,730.22 = 253,785.07/x
  3. Step 3: Cross multiply
    468,644.64x = 646,730.22 × 253,785.07
  4. Step 4: Simplify right side
    468,644.64x = 164,130,474,153.82
  5. Step 5: Solve for x
    x = 164,130,474,153.82/468,644.64
  6. Step 6: Final answer
    x = 350,223.73

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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.