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Finding the Fourth Proportional to 416,054.40, 624,431.70 and 389,810.40

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Solution

The fourth proportional to 416,054.40, 624,431.70 and 389,810.40 is: 585,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,054.40 : 624,431.70 = 389,810.40 : x
  2. Step 2: Convert to fraction form
    416,054.40/624,431.70 = 389,810.40/x
  3. Step 3: Cross multiply
    416,054.40x = 624,431.70 × 389,810.40
  4. Step 4: Simplify right side
    416,054.40x = 243,409,970,749.68
  5. Step 5: Solve for x
    x = 243,409,970,749.68/416,054.40
  6. Step 6: Final answer
    x = 585,043.62

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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.