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Finding the Fourth Proportional to 302,502.90, 453,900.15 and 213,564.90

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Solution

The fourth proportional to 302,502.90, 453,900.15 and 213,564.90 is: 320,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502.90 : 453,900.15 = 213,564.90 : x
  2. Step 2: Convert to fraction form
    302,502.90/453,900.15 = 213,564.90/x
  3. Step 3: Cross multiply
    302,502.90x = 453,900.15 × 213,564.90
  4. Step 4: Simplify right side
    302,502.90x = 96,937,140,144.74
  5. Step 5: Solve for x
    x = 96,937,140,144.74/302,502.90
  6. Step 6: Final answer
    x = 320,450.28

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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.