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Finding the Fourth Proportional to 456,529.80, 684,233.84 and 256,429.56

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Solution

The fourth proportional to 456,529.80, 684,233.84 and 256,429.56 is: 384,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,529.80 : 684,233.84 = 256,429.56 : x
  2. Step 2: Convert to fraction form
    456,529.80/684,233.84 = 256,429.56/x
  3. Step 3: Cross multiply
    456,529.80x = 684,233.84 × 256,429.56
  4. Step 4: Simplify right side
    456,529.80x = 175,457,782,528.31
  5. Step 5: Solve for x
    x = 175,457,782,528.31/456,529.80
  6. Step 6: Final answer
    x = 384,329.31

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1.5x scale

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.