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Finding the Fourth Proportional to 305,630.96, 458,444.39 and 166,275.32

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Solution

The fourth proportional to 305,630.96, 458,444.39 and 166,275.32 is: 249,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,630.96 : 458,444.39 = 166,275.32 : x
  2. Step 2: Convert to fraction form
    305,630.96/458,444.39 = 166,275.32/x
  3. Step 3: Cross multiply
    305,630.96x = 458,444.39 × 166,275.32
  4. Step 4: Simplify right side
    305,630.96x = 76,227,984,525.86
  5. Step 5: Solve for x
    x = 76,227,984,525.86/305,630.96
  6. Step 6: Final answer
    x = 249,411.86

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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.