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Finding the Fourth Proportional to 311,920.56, 430,443.18 and 184,598.28

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Solution

The fourth proportional to 311,920.56, 430,443.18 and 184,598.28 is: 254,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.56 : 430,443.18 = 184,598.28 : x
  2. Step 2: Convert to fraction form
    311,920.56/430,443.18 = 184,598.28/x
  3. Step 3: Cross multiply
    311,920.56x = 430,443.18 × 184,598.28
  4. Step 4: Simplify right side
    311,920.56x = 79,459,070,665.73
  5. Step 5: Solve for x
    x = 79,459,070,665.73/311,920.56
  6. Step 6: Final answer
    x = 254,741.37

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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.