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Finding the Fourth Proportional to 272,082.45, 406,929.94 and 242,306.67

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Solution

The fourth proportional to 272,082.45, 406,929.94 and 242,306.67 is: 362,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,082.45 : 406,929.94 = 242,306.67 : x
  2. Step 2: Convert to fraction form
    272,082.45/406,929.94 = 242,306.67/x
  3. Step 3: Cross multiply
    272,082.45x = 406,929.94 × 242,306.67
  4. Step 4: Simplify right side
    272,082.45x = 98,601,838,684.70
  5. Step 5: Solve for x
    x = 98,601,838,684.70/272,082.45
  6. Step 6: Final answer
    x = 362,396.91

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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.