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Finding the Fourth Proportional to 499,932.61, 689,189.31 and 356,443.54

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Solution

The fourth proportional to 499,932.61, 689,189.31 and 356,443.54 is: 491,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,932.61 : 689,189.31 = 356,443.54 : x
  2. Step 2: Convert to fraction form
    499,932.61/689,189.31 = 356,443.54/x
  3. Step 3: Cross multiply
    499,932.61x = 689,189.31 × 356,443.54
  4. Step 4: Simplify right side
    499,932.61x = 245,657,075,663.58
  5. Step 5: Solve for x
    x = 245,657,075,663.58/499,932.61
  6. Step 6: Final answer
    x = 491,380.38

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Why These Related Problems?

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