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Finding the Fourth Proportional to 469,322.28, 647,658.72 and 254,461.68

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Solution

The fourth proportional to 469,322.28, 647,658.72 and 254,461.68 is: 351,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,322.28 : 647,658.72 = 254,461.68 : x
  2. Step 2: Convert to fraction form
    469,322.28/647,658.72 = 254,461.68/x
  3. Step 3: Cross multiply
    469,322.28x = 647,658.72 × 254,461.68
  4. Step 4: Simplify right side
    469,322.28x = 164,804,325,957.85
  5. Step 5: Solve for x
    x = 164,804,325,957.85/469,322.28
  6. Step 6: Final answer
    x = 351,153.85

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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.