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Finding the Fourth Proportional to 305,343.55, 457,291.29 and 241,959.88

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Solution

The fourth proportional to 305,343.55, 457,291.29 and 241,959.88 is: 362,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343.55 : 457,291.29 = 241,959.88 : x
  2. Step 2: Convert to fraction form
    305,343.55/457,291.29 = 241,959.88/x
  3. Step 3: Cross multiply
    305,343.55x = 457,291.29 × 241,959.88
  4. Step 4: Simplify right side
    305,343.55x = 110,646,143,366.99
  5. Step 5: Solve for x
    x = 110,646,143,366.99/305,343.55
  6. Step 6: Final answer
    x = 362,366.08

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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.