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Finding the Fourth Proportional to 471,674.19, 650,922.05 and 256,826.01

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Solution

The fourth proportional to 471,674.19, 650,922.05 and 256,826.01 is: 354,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,674.19 : 650,922.05 = 256,826.01 : x
  2. Step 2: Convert to fraction form
    471,674.19/650,922.05 = 256,826.01/x
  3. Step 3: Cross multiply
    471,674.19x = 650,922.05 × 256,826.01
  4. Step 4: Simplify right side
    471,674.19x = 167,173,711,638.39
  5. Step 5: Solve for x
    x = 167,173,711,638.39/471,674.19
  6. Step 6: Final answer
    x = 354,426.24

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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.