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Finding the Fourth Proportional to 302,402.96, 453,086.04 and 213,497.36

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Solution

The fourth proportional to 302,402.96, 453,086.04 and 213,497.36 is: 319,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,402.96 : 453,086.04 = 213,497.36 : x
  2. Step 2: Convert to fraction form
    302,402.96/453,086.04 = 213,497.36/x
  3. Step 3: Cross multiply
    302,402.96x = 453,086.04 × 213,497.36
  4. Step 4: Simplify right side
    302,402.96x = 96,732,673,392.85
  5. Step 5: Solve for x
    x = 96,732,673,392.85/302,402.96
  6. Step 6: Final answer
    x = 319,880.05

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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.