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Finding the Fourth Proportional to 405,825.54, 560,055.74 and 224,534.53

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Solution

The fourth proportional to 405,825.54, 560,055.74 and 224,534.53 is: 309,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825.54 : 560,055.74 = 224,534.53 : x
  2. Step 2: Convert to fraction form
    405,825.54/560,055.74 = 224,534.53/x
  3. Step 3: Cross multiply
    405,825.54x = 560,055.74 × 224,534.53
  4. Step 4: Simplify right side
    405,825.54x = 125,751,852,354.70
  5. Step 5: Solve for x
    x = 125,751,852,354.70/405,825.54
  6. Step 6: Final answer
    x = 309,866.78

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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.