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Finding the Fourth Proportional to 308,047.70, 461,962.20 and 213,277.70

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Solution

The fourth proportional to 308,047.70, 461,962.20 and 213,277.70 is: 319,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.70 : 461,962.20 = 213,277.70 : x
  2. Step 2: Convert to fraction form
    308,047.70/461,962.20 = 213,277.70/x
  3. Step 3: Cross multiply
    308,047.70x = 461,962.20 × 213,277.70
  4. Step 4: Simplify right side
    308,047.70x = 98,526,235,502.94
  5. Step 5: Solve for x
    x = 98,526,235,502.94/308,047.70
  6. Step 6: Final answer
    x = 319,840.84

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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.