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Finding the Fourth Proportional to 314,600.08, 433,770.78 and 257,026.09

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Solution

The fourth proportional to 314,600.08, 433,770.78 and 257,026.09 is: 354,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,600.08 : 433,770.78 = 257,026.09 : x
  2. Step 2: Convert to fraction form
    314,600.08/433,770.78 = 257,026.09/x
  3. Step 3: Cross multiply
    314,600.08x = 433,770.78 × 257,026.09
  4. Step 4: Simplify right side
    314,600.08x = 111,490,407,539.65
  5. Step 5: Solve for x
    x = 111,490,407,539.65/314,600.08
  6. Step 6: Final answer
    x = 354,387.73

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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.