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Finding the Fourth Proportional to 433,078.48, 597,650.70 and 242,099.92

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Solution

The fourth proportional to 433,078.48, 597,650.70 and 242,099.92 is: 334,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,078.48 : 597,650.70 = 242,099.92 : x
  2. Step 2: Convert to fraction form
    433,078.48/597,650.70 = 242,099.92/x
  3. Step 3: Cross multiply
    433,078.48x = 597,650.70 × 242,099.92
  4. Step 4: Simplify right side
    433,078.48x = 144,691,186,657.94
  5. Step 5: Solve for x
    x = 144,691,186,657.94/433,078.48
  6. Step 6: Final answer
    x = 334,099.23

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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.