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Finding the Fourth Proportional to 471,529.92, 650,710.56 and 256,669.32

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Solution

The fourth proportional to 471,529.92, 650,710.56 and 256,669.32 is: 354,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,529.92 : 650,710.56 = 256,669.32 : x
  2. Step 2: Convert to fraction form
    471,529.92/650,710.56 = 256,669.32/x
  3. Step 3: Cross multiply
    471,529.92x = 650,710.56 × 256,669.32
  4. Step 4: Simplify right side
    471,529.92x = 167,017,436,952.02
  5. Step 5: Solve for x
    x = 167,017,436,952.02/471,529.92
  6. Step 6: Final answer
    x = 354,203.26

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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.