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Finding the Fourth Proportional to 403,213.68, 604,920.15 and 166,624.02

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Solution

The fourth proportional to 403,213.68, 604,920.15 and 166,624.02 is: 249,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,213.68 : 604,920.15 = 166,624.02 : x
  2. Step 2: Convert to fraction form
    403,213.68/604,920.15 = 166,624.02/x
  3. Step 3: Cross multiply
    403,213.68x = 604,920.15 × 166,624.02
  4. Step 4: Simplify right side
    403,213.68x = 100,794,227,172.00
  5. Step 5: Solve for x
    x = 100,794,227,172.00/403,213.68
  6. Step 6: Final answer
    x = 249,977.20

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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.