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Finding the Fourth Proportional to 471,700.38, 650,938.10 and 256,836.54

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Solution

The fourth proportional to 471,700.38, 650,938.10 and 256,836.54 is: 354,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,700.38 : 650,938.10 = 256,836.54 : x
  2. Step 2: Convert to fraction form
    471,700.38/650,938.10 = 256,836.54/x
  3. Step 3: Cross multiply
    471,700.38x = 650,938.10 × 256,836.54
  4. Step 4: Simplify right side
    471,700.38x = 167,184,688,073.99
  5. Step 5: Solve for x
    x = 167,184,688,073.99/471,700.38
  6. Step 6: Final answer
    x = 354,429.84

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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.