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Finding the Fourth Proportional to 405,205.80, 559,217.68 and 223,953.12

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Solution

The fourth proportional to 405,205.80, 559,217.68 and 223,953.12 is: 309,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,205.80 : 559,217.68 = 223,953.12 : x
  2. Step 2: Convert to fraction form
    405,205.80/559,217.68 = 223,953.12/x
  3. Step 3: Cross multiply
    405,205.80x = 559,217.68 × 223,953.12
  4. Step 4: Simplify right side
    405,205.80x = 125,238,544,195.16
  5. Step 5: Solve for x
    x = 125,238,544,195.16/405,205.80
  6. Step 6: Final answer
    x = 309,073.92

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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.