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Finding the Fourth Proportional to 403,005.52, 604,064.94 and 166,218.76

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Solution

The fourth proportional to 403,005.52, 604,064.94 and 166,218.76 is: 249,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,005.52 : 604,064.94 = 166,218.76 : x
  2. Step 2: Convert to fraction form
    403,005.52/604,064.94 = 166,218.76/x
  3. Step 3: Cross multiply
    403,005.52x = 604,064.94 × 166,218.76
  4. Step 4: Simplify right side
    403,005.52x = 100,406,925,286.27
  5. Step 5: Solve for x
    x = 100,406,925,286.27/403,005.52
  6. Step 6: Final answer
    x = 249,145.29

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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.