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Finding the Fourth Proportional to 270,912.20, 406,562.70 and 152,457.80

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Solution

The fourth proportional to 270,912.20, 406,562.70 and 152,457.80 is: 228,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,912.20 : 406,562.70 = 152,457.80 : x
  2. Step 2: Convert to fraction form
    270,912.20/406,562.70 = 152,457.80/x
  3. Step 3: Cross multiply
    270,912.20x = 406,562.70 × 152,457.80
  4. Step 4: Simplify right side
    270,912.20x = 61,983,654,804.06
  5. Step 5: Solve for x
    x = 61,983,654,804.06/270,912.20
  6. Step 6: Final answer
    x = 228,796.10

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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.