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Finding the Fourth Proportional to 471,271.10, 650,334.70 and 256,412.02

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Solution

The fourth proportional to 471,271.10, 650,334.70 and 256,412.02 is: 353,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,271.10 : 650,334.70 = 256,412.02 : x
  2. Step 2: Convert to fraction form
    471,271.10/650,334.70 = 256,412.02/x
  3. Step 3: Cross multiply
    471,271.10x = 650,334.70 × 256,412.02
  4. Step 4: Simplify right side
    471,271.10x = 166,753,634,103.09
  5. Step 5: Solve for x
    x = 166,753,634,103.09/471,271.10
  6. Step 6: Final answer
    x = 353,838.02

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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.