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Finding the Fourth Proportional to 310,119.12, 464,883.44 and 99,609.48

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Solution

The fourth proportional to 310,119.12, 464,883.44 and 99,609.48 is: 149,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,119.12 : 464,883.44 = 99,609.48 : x
  2. Step 2: Convert to fraction form
    310,119.12/464,883.44 = 99,609.48/x
  3. Step 3: Cross multiply
    310,119.12x = 464,883.44 × 99,609.48
  4. Step 4: Simplify right side
    310,119.12x = 46,306,797,220.96
  5. Step 5: Solve for x
    x = 46,306,797,220.96/310,119.12
  6. Step 6: Final answer
    x = 149,319.39

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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.