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Finding the Fourth Proportional to 405,983.62, 560,258.59 and 224,708.14

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Solution

The fourth proportional to 405,983.62, 560,258.59 and 224,708.14 is: 310,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,983.62 : 560,258.59 = 224,708.14 : x
  2. Step 2: Convert to fraction form
    405,983.62/560,258.59 = 224,708.14/x
  3. Step 3: Cross multiply
    405,983.62x = 560,258.59 × 224,708.14
  4. Step 4: Simplify right side
    405,983.62x = 125,894,662,876.63
  5. Step 5: Solve for x
    x = 125,894,662,876.63/405,983.62
  6. Step 6: Final answer
    x = 310,097.89

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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.