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Finding the Fourth Proportional to 416,328.40, 624,492.60 and 410,107.60

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Solution

The fourth proportional to 416,328.40, 624,492.60 and 410,107.60 is: 615,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,328.40 : 624,492.60 = 410,107.60 : x
  2. Step 2: Convert to fraction form
    416,328.40/624,492.60 = 410,107.60/x
  3. Step 3: Cross multiply
    416,328.40x = 624,492.60 × 410,107.60
  4. Step 4: Simplify right side
    416,328.40x = 256,109,161,403.76
  5. Step 5: Solve for x
    x = 256,109,161,403.76/416,328.40
  6. Step 6: Final answer
    x = 615,161.40

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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.