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Finding the Fourth Proportional to 405,355.65, 559,380.93 and 224,062.90

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Solution

The fourth proportional to 405,355.65, 559,380.93 and 224,062.90 is: 309,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,355.65 : 559,380.93 = 224,062.90 : x
  2. Step 2: Convert to fraction form
    405,355.65/559,380.93 = 224,062.90/x
  3. Step 3: Cross multiply
    405,355.65x = 559,380.93 × 224,062.90
  4. Step 4: Simplify right side
    405,355.65x = 125,336,513,380.50
  5. Step 5: Solve for x
    x = 125,336,513,380.50/405,355.65
  6. Step 6: Final answer
    x = 309,201.35

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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.