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Finding the Fourth Proportional to 471,597.80, 650,784.51 and 256,738.59

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Solution

The fourth proportional to 471,597.80, 650,784.51 and 256,738.59 is: 354,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,597.80 : 650,784.51 = 256,738.59 : x
  2. Step 2: Convert to fraction form
    471,597.80/650,784.51 = 256,738.59/x
  3. Step 3: Cross multiply
    471,597.80x = 650,784.51 × 256,738.59
  4. Step 4: Simplify right side
    471,597.80x = 167,081,497,491.24
  5. Step 5: Solve for x
    x = 167,081,497,491.24/471,597.80
  6. Step 6: Final answer
    x = 354,288.12

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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.