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Finding the Fourth Proportional to 732,297.98, 1,097,671.93 and 333,219

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Solution

The fourth proportional to 732,297.98, 1,097,671.93 and 333,219 is: 499,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,297.98 : 1,097,671.93 = 333,219 : x
  2. Step 2: Convert to fraction form
    732,297.98/1,097,671.93 = 333,219/x
  3. Step 3: Cross multiply
    732,297.98x = 1,097,671.93 × 333,219
  4. Step 4: Simplify right side
    732,297.98x = 365,765,142,842.67
  5. Step 5: Solve for x
    x = 365,765,142,842.67/732,297.98
  6. Step 6: Final answer
    x = 499,475.83

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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.