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Finding the Fourth Proportional to 333,296.96, 499,444.32 and 133,419.20

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Solution

The fourth proportional to 333,296.96, 499,444.32 and 133,419.20 is: 199,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,296.96 : 499,444.32 = 133,419.20 : x
  2. Step 2: Convert to fraction form
    333,296.96/499,444.32 = 133,419.20/x
  3. Step 3: Cross multiply
    333,296.96x = 499,444.32 × 133,419.20
  4. Step 4: Simplify right side
    333,296.96x = 66,635,461,618.94
  5. Step 5: Solve for x
    x = 66,635,461,618.94/333,296.96
  6. Step 6: Final answer
    x = 199,928.20

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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.