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Finding the Fourth Proportional to 466,581.92, 643,903.44 and 262,646

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Solution

The fourth proportional to 466,581.92, 643,903.44 and 262,646 is: 362,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,581.92 : 643,903.44 = 262,646 : x
  2. Step 2: Convert to fraction form
    466,581.92/643,903.44 = 262,646/x
  3. Step 3: Cross multiply
    466,581.92x = 643,903.44 × 262,646
  4. Step 4: Simplify right side
    466,581.92x = 169,118,662,902.24
  5. Step 5: Solve for x
    x = 169,118,662,902.24/466,581.92
  6. Step 6: Final answer
    x = 362,462.96

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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.