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Finding the Fourth Proportional to 256,636, 384,947.52 and 69,642.64

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Solution

The fourth proportional to 256,636, 384,947.52 and 69,642.64 is: 104,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,636 : 384,947.52 = 69,642.64 : x
  2. Step 2: Convert to fraction form
    256,636/384,947.52 = 69,642.64/x
  3. Step 3: Cross multiply
    256,636x = 384,947.52 × 69,642.64
  4. Step 4: Simplify right side
    256,636x = 26,808,761,554.25
  5. Step 5: Solve for x
    x = 26,808,761,554.25/256,636
  6. Step 6: Final answer
    x = 104,462.20

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