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Finding the Fourth Proportional to 270,423.40, 405,635.10 and 83,434.60

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Solution

The fourth proportional to 270,423.40, 405,635.10 and 83,434.60 is: 125,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,423.40 : 405,635.10 = 83,434.60 : x
  2. Step 2: Convert to fraction form
    270,423.40/405,635.10 = 83,434.60/x
  3. Step 3: Cross multiply
    270,423.40x = 405,635.10 × 83,434.60
  4. Step 4: Simplify right side
    270,423.40x = 33,844,002,314.46
  5. Step 5: Solve for x
    x = 33,844,002,314.46/270,423.40
  6. Step 6: Final answer
    x = 125,151.90

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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.