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Finding the Fourth Proportional to 472,742.96, 653,096.70 and 309,786.72

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Solution

The fourth proportional to 472,742.96, 653,096.70 and 309,786.72 is: 427,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,742.96 : 653,096.70 = 309,786.72 : x
  2. Step 2: Convert to fraction form
    472,742.96/653,096.70 = 309,786.72/x
  3. Step 3: Cross multiply
    472,742.96x = 653,096.70 × 309,786.72
  4. Step 4: Simplify right side
    472,742.96x = 202,320,684,535.82
  5. Step 5: Solve for x
    x = 202,320,684,535.82/472,742.96
  6. Step 6: Final answer
    x = 427,971.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.