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Finding the Fourth Proportional to 329,117.85, 493,381.26 and 118,706.58

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Solution

The fourth proportional to 329,117.85, 493,381.26 and 118,706.58 is: 177,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,117.85 : 493,381.26 = 118,706.58 : x
  2. Step 2: Convert to fraction form
    329,117.85/493,381.26 = 118,706.58/x
  3. Step 3: Cross multiply
    329,117.85x = 493,381.26 × 118,706.58
  4. Step 4: Simplify right side
    329,117.85x = 58,567,602,010.69
  5. Step 5: Solve for x
    x = 58,567,602,010.69/329,117.85
  6. Step 6: Final answer
    x = 177,953.28

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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.