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Finding the Fourth Proportional to 320,427.70, 480,605.10 and 83,794.30

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Solution

The fourth proportional to 320,427.70, 480,605.10 and 83,794.30 is: 125,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,427.70 : 480,605.10 = 83,794.30 : x
  2. Step 2: Convert to fraction form
    320,427.70/480,605.10 = 83,794.30/x
  3. Step 3: Cross multiply
    320,427.70x = 480,605.10 × 83,794.30
  4. Step 4: Simplify right side
    320,427.70x = 40,271,967,930.93
  5. Step 5: Solve for x
    x = 40,271,967,930.93/320,427.70
  6. Step 6: Final answer
    x = 125,681.92

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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.