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Finding the Fourth Proportional to 314,243.20, 471,364.80 and 127,388.80

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Solution

The fourth proportional to 314,243.20, 471,364.80 and 127,388.80 is: 191,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,243.20 : 471,364.80 = 127,388.80 : x
  2. Step 2: Convert to fraction form
    314,243.20/471,364.80 = 127,388.80/x
  3. Step 3: Cross multiply
    314,243.20x = 471,364.80 × 127,388.80
  4. Step 4: Simplify right side
    314,243.20x = 60,046,596,234.24
  5. Step 5: Solve for x
    x = 60,046,596,234.24/314,243.20
  6. Step 6: Final answer
    x = 191,083.20

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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.