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Finding the Fourth Proportional to 471,674.94, 650,923.08 and 256,826.76

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Solution

The fourth proportional to 471,674.94, 650,923.08 and 256,826.76 is: 354,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,674.94 : 650,923.08 = 256,826.76 : x
  2. Step 2: Convert to fraction form
    471,674.94/650,923.08 = 256,826.76/x
  3. Step 3: Cross multiply
    471,674.94x = 650,923.08 × 256,826.76
  4. Step 4: Simplify right side
    471,674.94x = 167,174,465,645.62
  5. Step 5: Solve for x
    x = 167,174,465,645.62/471,674.94
  6. Step 6: Final answer
    x = 354,427.28

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1.5x scale

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.