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Finding the Fourth Proportional to 405,203.54, 559,214.55 and 223,950.86

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Solution

The fourth proportional to 405,203.54, 559,214.55 and 223,950.86 is: 309,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,203.54 : 559,214.55 = 223,950.86 : x
  2. Step 2: Convert to fraction form
    405,203.54/559,214.55 = 223,950.86/x
  3. Step 3: Cross multiply
    405,203.54x = 559,214.55 × 223,950.86
  4. Step 4: Simplify right side
    405,203.54x = 125,236,576,600.94
  5. Step 5: Solve for x
    x = 125,236,576,600.94/405,203.54
  6. Step 6: Final answer
    x = 309,070.79

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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.