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Finding the Fourth Proportional to 466,409.49, 643,595.46 and 262,456.86

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Solution

The fourth proportional to 466,409.49, 643,595.46 and 262,456.86 is: 362,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,409.49 : 643,595.46 = 262,456.86 : x
  2. Step 2: Convert to fraction form
    466,409.49/643,595.46 = 262,456.86/x
  3. Step 3: Cross multiply
    466,409.49x = 643,595.46 × 262,456.86
  4. Step 4: Simplify right side
    466,409.49x = 168,916,043,541.86
  5. Step 5: Solve for x
    x = 168,916,043,541.86/466,409.49
  6. Step 6: Final answer
    x = 362,162.54

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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.