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Finding the Fourth Proportional to 471,750.14, 650,998.01 and 256,885.49

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Solution

The fourth proportional to 471,750.14, 650,998.01 and 256,885.49 is: 354,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,750.14 : 650,998.01 = 256,885.49 : x
  2. Step 2: Convert to fraction form
    471,750.14/650,998.01 = 256,885.49/x
  3. Step 3: Cross multiply
    471,750.14x = 650,998.01 × 256,885.49
  4. Step 4: Simplify right side
    471,750.14x = 167,231,941,503.45
  5. Step 5: Solve for x
    x = 167,231,941,503.45/471,750.14
  6. Step 6: Final answer
    x = 354,492.62

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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.