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Finding the Fourth Proportional to 659,228.50, 988,256.31 and 238,410.82

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Solution

The fourth proportional to 659,228.50, 988,256.31 and 238,410.82 is: 357,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,228.50 : 988,256.31 = 238,410.82 : x
  2. Step 2: Convert to fraction form
    659,228.50/988,256.31 = 238,410.82/x
  3. Step 3: Cross multiply
    659,228.50x = 988,256.31 × 238,410.82
  4. Step 4: Simplify right side
    659,228.50x = 235,610,997,237.27
  5. Step 5: Solve for x
    x = 235,610,997,237.27/659,228.50
  6. Step 6: Final answer
    x = 357,404.14

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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.