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Finding the Fourth Proportional to 411,430.20, 617,145.30 and 201,478.20

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Solution

The fourth proportional to 411,430.20, 617,145.30 and 201,478.20 is: 302,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,430.20 : 617,145.30 = 201,478.20 : x
  2. Step 2: Convert to fraction form
    411,430.20/617,145.30 = 201,478.20/x
  3. Step 3: Cross multiply
    411,430.20x = 617,145.30 × 201,478.20
  4. Step 4: Simplify right side
    411,430.20x = 124,341,324,182.46
  5. Step 5: Solve for x
    x = 124,341,324,182.46/411,430.20
  6. Step 6: Final answer
    x = 302,217.30

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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.