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Finding the Fourth Proportional to 302,507.40, 453,906.90 and 213,569.40

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Solution

The fourth proportional to 302,507.40, 453,906.90 and 213,569.40 is: 320,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,507.40 : 453,906.90 = 213,569.40 : x
  2. Step 2: Convert to fraction form
    302,507.40/453,906.90 = 213,569.40/x
  3. Step 3: Cross multiply
    302,507.40x = 453,906.90 × 213,569.40
  4. Step 4: Simplify right side
    302,507.40x = 96,940,624,288.86
  5. Step 5: Solve for x
    x = 96,940,624,288.86/302,507.40
  6. Step 6: Final answer
    x = 320,457.03

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1.5x scale

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.