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Finding the Fourth Proportional to 597,238.57, 896,226 and 242,255.67

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Solution

The fourth proportional to 597,238.57, 896,226 and 242,255.67 is: 363,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,238.57 : 896,226 = 242,255.67 : x
  2. Step 2: Convert to fraction form
    597,238.57/896,226 = 242,255.67/x
  3. Step 3: Cross multiply
    597,238.57x = 896,226 × 242,255.67
  4. Step 4: Simplify right side
    597,238.57x = 217,115,830,101.42
  5. Step 5: Solve for x
    x = 217,115,830,101.42/597,238.57
  6. Step 6: Final answer
    x = 363,532.83

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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.