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Finding the Fourth Proportional to 475,374.72, 713,047.44 and 194,680.56

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Solution

The fourth proportional to 475,374.72, 713,047.44 and 194,680.56 is: 292,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,374.72 : 713,047.44 = 194,680.56 : x
  2. Step 2: Convert to fraction form
    475,374.72/713,047.44 = 194,680.56/x
  3. Step 3: Cross multiply
    475,374.72x = 713,047.44 × 194,680.56
  4. Step 4: Simplify right side
    475,374.72x = 138,816,474,925.77
  5. Step 5: Solve for x
    x = 138,816,474,925.77/475,374.72
  6. Step 6: Final answer
    x = 292,014.84

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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.