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Finding the Fourth Proportional to 281,546.16, 421,259.76 and 197,470.40

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Solution

The fourth proportional to 281,546.16, 421,259.76 and 197,470.40 is: 295,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,546.16 : 421,259.76 = 197,470.40 : x
  2. Step 2: Convert to fraction form
    281,546.16/421,259.76 = 197,470.40/x
  3. Step 3: Cross multiply
    281,546.16x = 421,259.76 × 197,470.40
  4. Step 4: Simplify right side
    281,546.16x = 83,186,331,204.81
  5. Step 5: Solve for x
    x = 83,186,331,204.81/281,546.16
  6. Step 6: Final answer
    x = 295,462.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.