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Finding the Fourth Proportional to 329,685.18, 494,398.34 and 116,407.58

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Solution

The fourth proportional to 329,685.18, 494,398.34 and 116,407.58 is: 174,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,685.18 : 494,398.34 = 116,407.58 : x
  2. Step 2: Convert to fraction form
    329,685.18/494,398.34 = 116,407.58/x
  3. Step 3: Cross multiply
    329,685.18x = 494,398.34 × 116,407.58
  4. Step 4: Simplify right side
    329,685.18x = 57,551,714,315.42
  5. Step 5: Solve for x
    x = 57,551,714,315.42/329,685.18
  6. Step 6: Final answer
    x = 174,565.67

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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.