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Finding the Fourth Proportional to 412,873.60, 577,323.20 and 412,873.60

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Solution

The fourth proportional to 412,873.60, 577,323.20 and 412,873.60 is: 577,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,873.60 : 577,323.20 = 412,873.60 : x
  2. Step 2: Convert to fraction form
    412,873.60/577,323.20 = 412,873.60/x
  3. Step 3: Cross multiply
    412,873.60x = 577,323.20 × 412,873.60
  4. Step 4: Simplify right side
    412,873.60x = 238,361,507,947.52
  5. Step 5: Solve for x
    x = 238,361,507,947.52/412,873.60
  6. Step 6: Final answer
    x = 577,323.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.