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Finding the Fourth Proportional to 416,041.20, 624,492.52 and 256,232.24

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Solution

The fourth proportional to 416,041.20, 624,492.52 and 256,232.24 is: 384,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,041.20 : 624,492.52 = 256,232.24 : x
  2. Step 2: Convert to fraction form
    416,041.20/624,492.52 = 256,232.24/x
  3. Step 3: Cross multiply
    416,041.20x = 624,492.52 × 256,232.24
  4. Step 4: Simplify right side
    416,041.20x = 160,015,117,262.85
  5. Step 5: Solve for x
    x = 160,015,117,262.85/416,041.20
  6. Step 6: Final answer
    x = 384,613.63

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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.