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Finding the Fourth Proportional to 333,281.70, 498,464.55 and 297,998.10

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Solution

The fourth proportional to 333,281.70, 498,464.55 and 297,998.10 is: 445,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,281.70 : 498,464.55 = 297,998.10 : x
  2. Step 2: Convert to fraction form
    333,281.70/498,464.55 = 297,998.10/x
  3. Step 3: Cross multiply
    333,281.70x = 498,464.55 × 297,998.10
  4. Step 4: Simplify right side
    333,281.70x = 148,541,488,817.36
  5. Step 5: Solve for x
    x = 148,541,488,817.36/333,281.70
  6. Step 6: Final answer
    x = 445,693.50

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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.