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Finding the Fourth Proportional to 413,927.53, 620,874.02 and 118,439.53

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Solution

The fourth proportional to 413,927.53, 620,874.02 and 118,439.53 is: 177,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,927.53 : 620,874.02 = 118,439.53 : x
  2. Step 2: Convert to fraction form
    413,927.53/620,874.02 = 118,439.53/x
  3. Step 3: Cross multiply
    413,927.53x = 620,874.02 × 118,439.53
  4. Step 4: Simplify right side
    413,927.53x = 73,536,026,525.81
  5. Step 5: Solve for x
    x = 73,536,026,525.81/413,927.53
  6. Step 6: Final answer
    x = 177,654.35

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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.