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Finding the Fourth Proportional to 312,023.64, 467,946.18 and 101,679.96

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Solution

The fourth proportional to 312,023.64, 467,946.18 and 101,679.96 is: 152,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,023.64 : 467,946.18 = 101,679.96 : x
  2. Step 2: Convert to fraction form
    312,023.64/467,946.18 = 101,679.96/x
  3. Step 3: Cross multiply
    312,023.64x = 467,946.18 × 101,679.96
  4. Step 4: Simplify right side
    312,023.64x = 47,580,748,864.55
  5. Step 5: Solve for x
    x = 47,580,748,864.55/312,023.64
  6. Step 6: Final answer
    x = 152,490.85

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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.