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Finding the Fourth Proportional to 297,927.40, 447,063.90 and 110,957.80

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Solution

The fourth proportional to 297,927.40, 447,063.90 and 110,957.80 is: 166,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,927.40 : 447,063.90 = 110,957.80 : x
  2. Step 2: Convert to fraction form
    297,927.40/447,063.90 = 110,957.80/x
  3. Step 3: Cross multiply
    297,927.40x = 447,063.90 × 110,957.80
  4. Step 4: Simplify right side
    297,927.40x = 49,605,226,803.42
  5. Step 5: Solve for x
    x = 49,605,226,803.42/297,927.40
  6. Step 6: Final answer
    x = 166,501.06

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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.