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Finding the Fourth Proportional to 304,063.85, 456,169.98 and 214,281.62

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Solution

The fourth proportional to 304,063.85, 456,169.98 and 214,281.62 is: 321,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063.85 : 456,169.98 = 214,281.62 : x
  2. Step 2: Convert to fraction form
    304,063.85/456,169.98 = 214,281.62/x
  3. Step 3: Cross multiply
    304,063.85x = 456,169.98 × 214,281.62
  4. Step 4: Simplify right side
    304,063.85x = 97,748,840,028.92
  5. Step 5: Solve for x
    x = 97,748,840,028.92/304,063.85
  6. Step 6: Final answer
    x = 321,474.72

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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.