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Finding the Fourth Proportional to 310,313.20, 465,469.80 and 152,849.20

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Solution

The fourth proportional to 310,313.20, 465,469.80 and 152,849.20 is: 229,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,313.20 : 465,469.80 = 152,849.20 : x
  2. Step 2: Convert to fraction form
    310,313.20/465,469.80 = 152,849.20/x
  3. Step 3: Cross multiply
    310,313.20x = 465,469.80 × 152,849.20
  4. Step 4: Simplify right side
    310,313.20x = 71,146,686,554.16
  5. Step 5: Solve for x
    x = 71,146,686,554.16/310,313.20
  6. Step 6: Final answer
    x = 229,273.80

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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.