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Finding the Fourth Proportional to 323,598.72, 446,357.79 and 214,700.70

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Solution

The fourth proportional to 323,598.72, 446,357.79 and 214,700.70 is: 296,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,598.72 : 446,357.79 = 214,700.70 : x
  2. Step 2: Convert to fraction form
    323,598.72/446,357.79 = 214,700.70/x
  3. Step 3: Cross multiply
    323,598.72x = 446,357.79 × 214,700.70
  4. Step 4: Simplify right side
    323,598.72x = 95,833,329,963.45
  5. Step 5: Solve for x
    x = 95,833,329,963.45/323,598.72
  6. Step 6: Final answer
    x = 296,148.67

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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.