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Finding the Fourth Proportional to 471,376.88, 650,498.90 and 256,516.89

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Solution

The fourth proportional to 471,376.88, 650,498.90 and 256,516.89 is: 353,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,376.88 : 650,498.90 = 256,516.89 : x
  2. Step 2: Convert to fraction form
    471,376.88/650,498.90 = 256,516.89/x
  3. Step 3: Cross multiply
    471,376.88x = 650,498.90 × 256,516.89
  4. Step 4: Simplify right side
    471,376.88x = 166,863,953,493.84
  5. Step 5: Solve for x
    x = 166,863,953,493.84/471,376.88
  6. Step 6: Final answer
    x = 353,992.65

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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.