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Finding the Fourth Proportional to 305,999.20, 458,998.80 and 257,010.40

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Solution

The fourth proportional to 305,999.20, 458,998.80 and 257,010.40 is: 385,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999.20 : 458,998.80 = 257,010.40 : x
  2. Step 2: Convert to fraction form
    305,999.20/458,998.80 = 257,010.40/x
  3. Step 3: Cross multiply
    305,999.20x = 458,998.80 × 257,010.40
  4. Step 4: Simplify right side
    305,999.20x = 117,967,465,187.52
  5. Step 5: Solve for x
    x = 117,967,465,187.52/305,999.20
  6. Step 6: Final answer
    x = 385,515.60

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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.