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Finding the Fourth Proportional to 433,274.84, 597,919.30 and 242,288.68

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Solution

The fourth proportional to 433,274.84, 597,919.30 and 242,288.68 is: 334,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,274.84 : 597,919.30 = 242,288.68 : x
  2. Step 2: Convert to fraction form
    433,274.84/597,919.30 = 242,288.68/x
  3. Step 3: Cross multiply
    433,274.84x = 597,919.30 × 242,288.68
  4. Step 4: Simplify right side
    433,274.84x = 144,869,077,943.52
  5. Step 5: Solve for x
    x = 144,869,077,943.52/433,274.84
  6. Step 6: Final answer
    x = 334,358.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.