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Finding the Fourth Proportional to 305,875.20, 458,812.80 and 212,563.20

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Solution

The fourth proportional to 305,875.20, 458,812.80 and 212,563.20 is: 318,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,875.20 : 458,812.80 = 212,563.20 : x
  2. Step 2: Convert to fraction form
    305,875.20/458,812.80 = 212,563.20/x
  3. Step 3: Cross multiply
    305,875.20x = 458,812.80 × 212,563.20
  4. Step 4: Simplify right side
    305,875.20x = 97,526,716,968.96
  5. Step 5: Solve for x
    x = 97,526,716,968.96/305,875.20
  6. Step 6: Final answer
    x = 318,844.80

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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.