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Finding the Fourth Proportional to 329,092.40, 493,055.40 and 308,097.20

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Solution

The fourth proportional to 329,092.40, 493,055.40 and 308,097.20 is: 461,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,092.40 : 493,055.40 = 308,097.20 : x
  2. Step 2: Convert to fraction form
    329,092.40/493,055.40 = 308,097.20/x
  3. Step 3: Cross multiply
    329,092.40x = 493,055.40 × 308,097.20
  4. Step 4: Simplify right side
    329,092.40x = 151,908,988,184.88
  5. Step 5: Solve for x
    x = 151,908,988,184.88/329,092.40
  6. Step 6: Final answer
    x = 461,599.81

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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.