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Finding the Fourth Proportional to 405,465.24, 559,532.16 and 224,172.48

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Solution

The fourth proportional to 405,465.24, 559,532.16 and 224,172.48 is: 309,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,465.24 : 559,532.16 = 224,172.48 : x
  2. Step 2: Convert to fraction form
    405,465.24/559,532.16 = 224,172.48/x
  3. Step 3: Cross multiply
    405,465.24x = 559,532.16 × 224,172.48
  4. Step 4: Simplify right side
    405,465.24x = 125,431,711,946.96
  5. Step 5: Solve for x
    x = 125,431,711,946.96/405,465.24
  6. Step 6: Final answer
    x = 309,352.56

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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.