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Finding the Fourth Proportional to 305,428.20, 458,142.30 and 165,460.20

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Solution

The fourth proportional to 305,428.20, 458,142.30 and 165,460.20 is: 248,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,428.20 : 458,142.30 = 165,460.20 : x
  2. Step 2: Convert to fraction form
    305,428.20/458,142.30 = 165,460.20/x
  3. Step 3: Cross multiply
    305,428.20x = 458,142.30 × 165,460.20
  4. Step 4: Simplify right side
    305,428.20x = 75,804,316,586.46
  5. Step 5: Solve for x
    x = 75,804,316,586.46/305,428.20
  6. Step 6: Final answer
    x = 248,190.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.