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Finding the Fourth Proportional to 449,970.14, 675,142.83 and 197,432.12

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Solution

The fourth proportional to 449,970.14, 675,142.83 and 197,432.12 is: 296,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,970.14 : 675,142.83 = 197,432.12 : x
  2. Step 2: Convert to fraction form
    449,970.14/675,142.83 = 197,432.12/x
  3. Step 3: Cross multiply
    449,970.14x = 675,142.83 × 197,432.12
  4. Step 4: Simplify right side
    449,970.14x = 133,294,881,917.56
  5. Step 5: Solve for x
    x = 133,294,881,917.56/449,970.14
  6. Step 6: Final answer
    x = 296,230.50

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1.5x scale

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.