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Finding the Fourth Proportional to 305,530.38, 458,293.95 and 166,174.74

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Solution

The fourth proportional to 305,530.38, 458,293.95 and 166,174.74 is: 249,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,530.38 : 458,293.95 = 166,174.74 : x
  2. Step 2: Convert to fraction form
    305,530.38/458,293.95 = 166,174.74/x
  3. Step 3: Cross multiply
    305,530.38x = 458,293.95 × 166,174.74
  4. Step 4: Simplify right side
    305,530.38x = 76,156,877,984.82
  5. Step 5: Solve for x
    x = 76,156,877,984.82/305,530.38
  6. Step 6: Final answer
    x = 249,261.23

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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.