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Finding the Fourth Proportional to 333,973.22, 500,967.12 and 200,964.74

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Solution

The fourth proportional to 333,973.22, 500,967.12 and 200,964.74 is: 301,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,973.22 : 500,967.12 = 200,964.74 : x
  2. Step 2: Convert to fraction form
    333,973.22/500,967.12 = 200,964.74/x
  3. Step 3: Cross multiply
    333,973.22x = 500,967.12 × 200,964.74
  4. Step 4: Simplify right side
    333,973.22x = 100,676,727,019.35
  5. Step 5: Solve for x
    x = 100,676,727,019.35/333,973.22
  6. Step 6: Final answer
    x = 301,451.50

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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.