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Finding the Fourth Proportional to 471,734.94, 651,006.63 and 256,884.06

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Solution

The fourth proportional to 471,734.94, 651,006.63 and 256,884.06 is: 354,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,734.94 : 651,006.63 = 256,884.06 : x
  2. Step 2: Convert to fraction form
    471,734.94/651,006.63 = 256,884.06/x
  3. Step 3: Cross multiply
    471,734.94x = 651,006.63 × 256,884.06
  4. Step 4: Simplify right side
    471,734.94x = 167,233,226,201.32
  5. Step 5: Solve for x
    x = 167,233,226,201.32/471,734.94
  6. Step 6: Final answer
    x = 354,506.76

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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.