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Finding the Fourth Proportional to 328,971.47, 493,474.58 and 92,332.59

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Solution

The fourth proportional to 328,971.47, 493,474.58 and 92,332.59 is: 138,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971.47 : 493,474.58 = 92,332.59 : x
  2. Step 2: Convert to fraction form
    328,971.47/493,474.58 = 92,332.59/x
  3. Step 3: Cross multiply
    328,971.47x = 493,474.58 × 92,332.59
  4. Step 4: Simplify right side
    328,971.47x = 45,563,785,608.90
  5. Step 5: Solve for x
    x = 45,563,785,608.90/328,971.47
  6. Step 6: Final answer
    x = 138,503.76

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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.