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Finding the Fourth Proportional to 329,117.46, 493,574.07 and 118,727.94

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Solution

The fourth proportional to 329,117.46, 493,574.07 and 118,727.94 is: 178,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,117.46 : 493,574.07 = 118,727.94 : x
  2. Step 2: Convert to fraction form
    329,117.46/493,574.07 = 118,727.94/x
  3. Step 3: Cross multiply
    329,117.46x = 493,574.07 × 118,727.94
  4. Step 4: Simplify right side
    329,117.46x = 58,601,032,568.52
  5. Step 5: Solve for x
    x = 58,601,032,568.52/329,117.46
  6. Step 6: Final answer
    x = 178,055.07

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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.