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Finding the Fourth Proportional to 471,470.71, 650,629.53 and 256,612.34

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Solution

The fourth proportional to 471,470.71, 650,629.53 and 256,612.34 is: 354,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,470.71 : 650,629.53 = 256,612.34 : x
  2. Step 2: Convert to fraction form
    471,470.71/650,629.53 = 256,612.34/x
  3. Step 3: Cross multiply
    471,470.71x = 650,629.53 × 256,612.34
  4. Step 4: Simplify right side
    471,470.71x = 166,959,566,166.40
  5. Step 5: Solve for x
    x = 166,959,566,166.40/471,470.71
  6. Step 6: Final answer
    x = 354,125.00

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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.