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Finding the Fourth Proportional to 468,305.36, 646,261.44 and 253,446.98

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Solution

The fourth proportional to 468,305.36, 646,261.44 and 253,446.98 is: 349,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,305.36 : 646,261.44 = 253,446.98 : x
  2. Step 2: Convert to fraction form
    468,305.36/646,261.44 = 253,446.98/x
  3. Step 3: Cross multiply
    468,305.36x = 646,261.44 × 253,446.98
  4. Step 4: Simplify right side
    468,305.36x = 163,793,010,258.45
  5. Step 5: Solve for x
    x = 163,793,010,258.45/468,305.36
  6. Step 6: Final answer
    x = 349,756.86

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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.