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Finding the Fourth Proportional to 405,125.50, 559,073.20 and 226,277.50

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Solution

The fourth proportional to 405,125.50, 559,073.20 and 226,277.50 is: 312,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,125.50 : 559,073.20 = 226,277.50 : x
  2. Step 2: Convert to fraction form
    405,125.50/559,073.20 = 226,277.50/x
  3. Step 3: Cross multiply
    405,125.50x = 559,073.20 × 226,277.50
  4. Step 4: Simplify right side
    405,125.50x = 126,505,686,013.00
  5. Step 5: Solve for x
    x = 126,505,686,013.00/405,125.50
  6. Step 6: Final answer
    x = 312,262.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.