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Finding the Fourth Proportional to 475,377.72, 713,051.94 and 194,683.56

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Solution

The fourth proportional to 475,377.72, 713,051.94 and 194,683.56 is: 292,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,377.72 : 713,051.94 = 194,683.56 : x
  2. Step 2: Convert to fraction form
    475,377.72/713,051.94 = 194,683.56/x
  3. Step 3: Cross multiply
    475,377.72x = 713,051.94 × 194,683.56
  4. Step 4: Simplify right side
    475,377.72x = 138,819,490,144.11
  5. Step 5: Solve for x
    x = 138,819,490,144.11/475,377.72
  6. Step 6: Final answer
    x = 292,019.34

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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.