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Finding the Fourth Proportional to 471,298.54, 650,403.63 and 256,450.39

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Solution

The fourth proportional to 471,298.54, 650,403.63 and 256,450.39 is: 353,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,298.54 : 650,403.63 = 256,450.39 : x
  2. Step 2: Convert to fraction form
    471,298.54/650,403.63 = 256,450.39/x
  3. Step 3: Cross multiply
    471,298.54x = 650,403.63 × 256,450.39
  4. Step 4: Simplify right side
    471,298.54x = 166,796,264,570.92
  5. Step 5: Solve for x
    x = 166,796,264,570.92/471,298.54
  6. Step 6: Final answer
    x = 353,907.87

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1.5x scale

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.