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Finding the Fourth Proportional to 416,010.40, 624,015.60 and 409,789.60

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Solution

The fourth proportional to 416,010.40, 624,015.60 and 409,789.60 is: 614,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,010.40 : 624,015.60 = 409,789.60 : x
  2. Step 2: Convert to fraction form
    416,010.40/624,015.60 = 409,789.60/x
  3. Step 3: Cross multiply
    416,010.40x = 624,015.60 × 409,789.60
  4. Step 4: Simplify right side
    416,010.40x = 255,715,103,117.76
  5. Step 5: Solve for x
    x = 255,715,103,117.76/416,010.40
  6. Step 6: Final answer
    x = 614,684.40

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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.