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Finding the Fourth Proportional to 256,643, 384,958.02 and 69,649.64

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Solution

The fourth proportional to 256,643, 384,958.02 and 69,649.64 is: 104,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643 : 384,958.02 = 69,649.64 : x
  2. Step 2: Convert to fraction form
    256,643/384,958.02 = 69,649.64/x
  3. Step 3: Cross multiply
    256,643x = 384,958.02 × 69,649.64
  4. Step 4: Simplify right side
    256,643x = 26,812,187,508.11
  5. Step 5: Solve for x
    x = 26,812,187,508.11/256,643
  6. Step 6: Final answer
    x = 104,472.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.