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Finding the Fourth Proportional to 505,947.60, 757,999.80 and 411,944.40

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Solution

The fourth proportional to 505,947.60, 757,999.80 and 411,944.40 is: 617,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,947.60 : 757,999.80 = 411,944.40 : x
  2. Step 2: Convert to fraction form
    505,947.60/757,999.80 = 411,944.40/x
  3. Step 3: Cross multiply
    505,947.60x = 757,999.80 × 411,944.40
  4. Step 4: Simplify right side
    505,947.60x = 312,253,772,811.12
  5. Step 5: Solve for x
    x = 312,253,772,811.12/505,947.60
  6. Step 6: Final answer
    x = 617,166.23

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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.