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Finding the Fourth Proportional to 498,431.51, 747,610.98 and 194,768.79

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Solution

The fourth proportional to 498,431.51, 747,610.98 and 194,768.79 is: 292,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,431.51 : 747,610.98 = 194,768.79 : x
  2. Step 2: Convert to fraction form
    498,431.51/747,610.98 = 194,768.79/x
  3. Step 3: Cross multiply
    498,431.51x = 747,610.98 × 194,768.79
  4. Step 4: Simplify right side
    498,431.51x = 145,611,282,431.39
  5. Step 5: Solve for x
    x = 145,611,282,431.39/498,431.51
  6. Step 6: Final answer
    x = 292,139.00

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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.