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Finding the Fourth Proportional to 405,510.70, 559,582.20 and 224,211.75

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Solution

The fourth proportional to 405,510.70, 559,582.20 and 224,211.75 is: 309,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,510.70 : 559,582.20 = 224,211.75 : x
  2. Step 2: Convert to fraction form
    405,510.70/559,582.20 = 224,211.75/x
  3. Step 3: Cross multiply
    405,510.70x = 559,582.20 × 224,211.75
  4. Step 4: Simplify right side
    405,510.70x = 125,464,904,330.85
  5. Step 5: Solve for x
    x = 125,464,904,330.85/405,510.70
  6. Step 6: Final answer
    x = 309,399.74

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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.