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Finding the Fourth Proportional to 329,054.73, 493,612.21 and 92,395.81

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Solution

The fourth proportional to 329,054.73, 493,612.21 and 92,395.81 is: 138,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,054.73 : 493,612.21 = 92,395.81 : x
  2. Step 2: Convert to fraction form
    329,054.73/493,612.21 = 92,395.81/x
  3. Step 3: Cross multiply
    329,054.73x = 493,612.21 × 92,395.81
  4. Step 4: Simplify right side
    329,054.73x = 45,607,700,701.35
  5. Step 5: Solve for x
    x = 45,607,700,701.35/329,054.73
  6. Step 6: Final answer
    x = 138,602.17

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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.