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Finding the Fourth Proportional to 302,584.40, 454,022.40 and 213,646.40

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Solution

The fourth proportional to 302,584.40, 454,022.40 and 213,646.40 is: 320,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,584.40 : 454,022.40 = 213,646.40 : x
  2. Step 2: Convert to fraction form
    302,584.40/454,022.40 = 213,646.40/x
  3. Step 3: Cross multiply
    302,584.40x = 454,022.40 × 213,646.40
  4. Step 4: Simplify right side
    302,584.40x = 97,000,251,279.36
  5. Step 5: Solve for x
    x = 97,000,251,279.36/302,584.40
  6. Step 6: Final answer
    x = 320,572.55

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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.