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Finding the Fourth Proportional to 407,433.60, 611,150.40 and 384,105.60

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Solution

The fourth proportional to 407,433.60, 611,150.40 and 384,105.60 is: 576,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,433.60 : 611,150.40 = 384,105.60 : x
  2. Step 2: Convert to fraction form
    407,433.60/611,150.40 = 384,105.60/x
  3. Step 3: Cross multiply
    407,433.60x = 611,150.40 × 384,105.60
  4. Step 4: Simplify right side
    407,433.60x = 234,746,291,082.24
  5. Step 5: Solve for x
    x = 234,746,291,082.24/407,433.60
  6. Step 6: Final answer
    x = 576,158.40

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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.