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Finding the Fourth Proportional to 411,958.40, 617,419.20 and 365,302.40

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Solution

The fourth proportional to 411,958.40, 617,419.20 and 365,302.40 is: 547,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,958.40 : 617,419.20 = 365,302.40 : x
  2. Step 2: Convert to fraction form
    411,958.40/617,419.20 = 365,302.40/x
  3. Step 3: Cross multiply
    411,958.40x = 617,419.20 × 365,302.40
  4. Step 4: Simplify right side
    411,958.40x = 225,544,715,566.08
  5. Step 5: Solve for x
    x = 225,544,715,566.08/411,958.40
  6. Step 6: Final answer
    x = 547,493.91

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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.