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Finding the Fourth Proportional to 405,940.74, 560,199.29 and 224,665.17

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Solution

The fourth proportional to 405,940.74, 560,199.29 and 224,665.17 is: 310,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,940.74 : 560,199.29 = 224,665.17 : x
  2. Step 2: Convert to fraction form
    405,940.74/560,199.29 = 224,665.17/x
  3. Step 3: Cross multiply
    405,940.74x = 560,199.29 × 224,665.17
  4. Step 4: Simplify right side
    405,940.74x = 125,857,267,598.40
  5. Step 5: Solve for x
    x = 125,857,267,598.40/405,940.74
  6. Step 6: Final answer
    x = 310,038.52

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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.