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Finding the Fourth Proportional to 329,203.64, 493,681.53 and 129,414.81

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Solution

The fourth proportional to 329,203.64, 493,681.53 and 129,414.81 is: 194,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,203.64 : 493,681.53 = 129,414.81 : x
  2. Step 2: Convert to fraction form
    329,203.64/493,681.53 = 129,414.81/x
  3. Step 3: Cross multiply
    329,203.64x = 493,681.53 × 129,414.81
  4. Step 4: Simplify right side
    329,203.64x = 63,889,703,742.07
  5. Step 5: Solve for x
    x = 63,889,703,742.07/329,203.64
  6. Step 6: Final answer
    x = 194,073.50

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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.