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Finding the Fourth Proportional to 242,618.34, 364,186.30 and 214,715.86

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Solution

The fourth proportional to 242,618.34, 364,186.30 and 214,715.86 is: 322,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,618.34 : 364,186.30 = 214,715.86 : x
  2. Step 2: Convert to fraction form
    242,618.34/364,186.30 = 214,715.86/x
  3. Step 3: Cross multiply
    242,618.34x = 364,186.30 × 214,715.86
  4. Step 4: Simplify right side
    242,618.34x = 78,196,574,604.72
  5. Step 5: Solve for x
    x = 78,196,574,604.72/242,618.34
  6. Step 6: Final answer
    x = 322,302.82

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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.