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Finding the Fourth Proportional to 315,298.40, 472,947.60 and 197,103.20

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Solution

The fourth proportional to 315,298.40, 472,947.60 and 197,103.20 is: 295,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,298.40 : 472,947.60 = 197,103.20 : x
  2. Step 2: Convert to fraction form
    315,298.40/472,947.60 = 197,103.20/x
  3. Step 3: Cross multiply
    315,298.40x = 472,947.60 × 197,103.20
  4. Step 4: Simplify right side
    315,298.40x = 93,219,485,392.32
  5. Step 5: Solve for x
    x = 93,219,485,392.32/315,298.40
  6. Step 6: Final answer
    x = 295,654.80

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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.