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Finding the Fourth Proportional to 419,441.76, 628,663.14 and 241,580.34

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Solution

The fourth proportional to 419,441.76, 628,663.14 and 241,580.34 is: 362,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,441.76 : 628,663.14 = 241,580.34 : x
  2. Step 2: Convert to fraction form
    419,441.76/628,663.14 = 241,580.34/x
  3. Step 3: Cross multiply
    419,441.76x = 628,663.14 × 241,580.34
  4. Step 4: Simplify right side
    419,441.76x = 151,872,655,106.67
  5. Step 5: Solve for x
    x = 151,872,655,106.67/419,441.76
  6. Step 6: Final answer
    x = 362,082.82

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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.