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Finding the Fourth Proportional to 471,731.84, 650,967.76 and 256,871.24

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Solution

The fourth proportional to 471,731.84, 650,967.76 and 256,871.24 is: 354,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,731.84 : 650,967.76 = 256,871.24 : x
  2. Step 2: Convert to fraction form
    471,731.84/650,967.76 = 256,871.24/x
  3. Step 3: Cross multiply
    471,731.84x = 650,967.76 × 256,871.24
  4. Step 4: Simplify right side
    471,731.84x = 167,214,895,711.22
  5. Step 5: Solve for x
    x = 167,214,895,711.22/471,731.84
  6. Step 6: Final answer
    x = 354,470.23

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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.