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Finding the Fourth Proportional to 434,408.82, 599,474.43 and 253,109.40

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Solution

The fourth proportional to 434,408.82, 599,474.43 and 253,109.40 is: 349,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,408.82 : 599,474.43 = 253,109.40 : x
  2. Step 2: Convert to fraction form
    434,408.82/599,474.43 = 253,109.40/x
  3. Step 3: Cross multiply
    434,408.82x = 599,474.43 × 253,109.40
  4. Step 4: Simplify right side
    434,408.82x = 151,732,613,292.64
  5. Step 5: Solve for x
    x = 151,732,613,292.64/434,408.82
  6. Step 6: Final answer
    x = 349,285.30

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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.