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Finding the Fourth Proportional to 315,097.40, 472,646.10 and 196,902.20

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Solution

The fourth proportional to 315,097.40, 472,646.10 and 196,902.20 is: 295,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.40 : 472,646.10 = 196,902.20 : x
  2. Step 2: Convert to fraction form
    315,097.40/472,646.10 = 196,902.20/x
  3. Step 3: Cross multiply
    315,097.40x = 472,646.10 × 196,902.20
  4. Step 4: Simplify right side
    315,097.40x = 93,065,056,911.42
  5. Step 5: Solve for x
    x = 93,065,056,911.42/315,097.40
  6. Step 6: Final answer
    x = 295,353.30

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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.