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Finding the Fourth Proportional to 471,708.94, 650,955.56 and 256,848.49

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Solution

The fourth proportional to 471,708.94, 650,955.56 and 256,848.49 is: 354,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,708.94 : 650,955.56 = 256,848.49 : x
  2. Step 2: Convert to fraction form
    471,708.94/650,955.56 = 256,848.49/x
  3. Step 3: Cross multiply
    471,708.94x = 650,955.56 × 256,848.49
  4. Step 4: Simplify right side
    471,708.94x = 167,196,952,643.10
  5. Step 5: Solve for x
    x = 167,196,952,643.10/471,708.94
  6. Step 6: Final answer
    x = 354,449.40

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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.