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Finding the Fourth Proportional to 421,243.20, 631,864.80 and 234,254.70

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Solution

The fourth proportional to 421,243.20, 631,864.80 and 234,254.70 is: 351,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,243.20 : 631,864.80 = 234,254.70 : x
  2. Step 2: Convert to fraction form
    421,243.20/631,864.80 = 234,254.70/x
  3. Step 3: Cross multiply
    421,243.20x = 631,864.80 × 234,254.70
  4. Step 4: Simplify right side
    421,243.20x = 148,017,299,164.56
  5. Step 5: Solve for x
    x = 148,017,299,164.56/421,243.20
  6. Step 6: Final answer
    x = 351,382.05

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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.