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Finding the Fourth Proportional to 471,523.06, 650,716.50 and 256,677.45

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Solution

The fourth proportional to 471,523.06, 650,716.50 and 256,677.45 is: 354,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.06 : 650,716.50 = 256,677.45 : x
  2. Step 2: Convert to fraction form
    471,523.06/650,716.50 = 256,677.45/x
  3. Step 3: Cross multiply
    471,523.06x = 650,716.50 × 256,677.45
  4. Step 4: Simplify right side
    471,523.06x = 167,024,248,639.34
  5. Step 5: Solve for x
    x = 167,024,248,639.34/471,523.06
  6. Step 6: Final answer
    x = 354,222.86

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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.