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Finding the Fourth Proportional to 403,004.52, 604,063.44 and 166,217.76

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Solution

The fourth proportional to 403,004.52, 604,063.44 and 166,217.76 is: 249,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,004.52 : 604,063.44 = 166,217.76 : x
  2. Step 2: Convert to fraction form
    403,004.52/604,063.44 = 166,217.76/x
  3. Step 3: Cross multiply
    403,004.52x = 604,063.44 × 166,217.76
  4. Step 4: Simplify right side
    403,004.52x = 100,406,071,894.69
  5. Step 5: Solve for x
    x = 100,406,071,894.69/403,004.52
  6. Step 6: Final answer
    x = 249,143.79

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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.