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Finding the Fourth Proportional to 405,920.66, 560,162.14 and 224,621.84

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Solution

The fourth proportional to 405,920.66, 560,162.14 and 224,621.84 is: 309,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.66 : 560,162.14 = 224,621.84 : x
  2. Step 2: Convert to fraction form
    405,920.66/560,162.14 = 224,621.84/x
  3. Step 3: Cross multiply
    405,920.66x = 560,162.14 × 224,621.84
  4. Step 4: Simplify right side
    405,920.66x = 125,824,651,423.99
  5. Step 5: Solve for x
    x = 125,824,651,423.99/405,920.66
  6. Step 6: Final answer
    x = 309,973.51

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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.